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Use the image to answer the question. An illustration shows four rays with points near the arrows labeled A, B, C, and D in a c...Question
Use the image to answer the question.
An illustration shows four rays with points near the arrows labeled A, B, C, and D in a clockwise direction emerging from a common point labeled O. The angle A O B is marked as 40 degrees and angle C O D is marked as 50 degrees.
Are the two indicated angles adjacent? Why or why not?
No, the two indicated angles do not share a common vertex.
Yes, the two indicated angles share a common ray.
Yes, the two indicated angles share a common vertex.
No, the two indicated angles do not share a common ray.
An illustration shows four rays with points near the arrows labeled A, B, C, and D in a clockwise direction emerging from a common point labeled O. The angle A O B is marked as 40 degrees and angle C O D is marked as 50 degrees.
Are the two indicated angles adjacent? Why or why not?
No, the two indicated angles do not share a common vertex.
Yes, the two indicated angles share a common ray.
Yes, the two indicated angles share a common vertex.
No, the two indicated angles do not share a common ray.
Answers
Answer
Use the image to answer the question.
An illustration shows three rays passing through three points from a common origin point at upper S. Point upper T is to the horizontal left of upper S. A ray from upper S joins upper T with an arrow near upper T. Point upper V is on the top inclined to the right of point upper S. A ray from upper S joins upper V with an arrow near upper V. Point upper R is to top right of point upper S, below point upper V. A ray from upper S joins upper R with an arrow near upper R. Angle upper T upper S upper R is labeled as 157 degrees. Angle upper V upper S upper R as 54 degrees.
What is the measure of ∠TSV ?
__°
An illustration shows three rays passing through three points from a common origin point at upper S. Point upper T is to the horizontal left of upper S. A ray from upper S joins upper T with an arrow near upper T. Point upper V is on the top inclined to the right of point upper S. A ray from upper S joins upper V with an arrow near upper V. Point upper R is to top right of point upper S, below point upper V. A ray from upper S joins upper R with an arrow near upper R. Angle upper T upper S upper R is labeled as 157 degrees. Angle upper V upper S upper R as 54 degrees.
What is the measure of ∠TSV ?
__°
Answer
Use the image to answer the question.
An illustration shows three rays from a common vertex with labeled angles. The first ray is inclined to the horizontal left of the common vertex with an arrow at the end. The second ray is inclined to the horizontal right of the common vertex with an arrow at the end. The third ray is to the top right of the common vertex with an arrow at the end. It is between the other two rays. The angle between the first and the third rays is labeled as left parenthesis 2 x plus 3 right parenthesis degrees. The angle between the second and third rays is labeled as left parenthesis x minus 6 right parenthesis degrees.
(__x+__)° + (x-__)° = __°
An illustration shows three rays from a common vertex with labeled angles. The first ray is inclined to the horizontal left of the common vertex with an arrow at the end. The second ray is inclined to the horizontal right of the common vertex with an arrow at the end. The third ray is to the top right of the common vertex with an arrow at the end. It is between the other two rays. The angle between the first and the third rays is labeled as left parenthesis 2 x plus 3 right parenthesis degrees. The angle between the second and third rays is labeled as left parenthesis x minus 6 right parenthesis degrees.
(__x+__)° + (x-__)° = __°
Answer
(2x+3)° + (x-6) = __°
Answer
Two adjacent angles, ∠1 and ∠2, form a resulting angle with measure 135° . If m∠1=(2x)° and m∠2=(2x+7)° , what are the two unknown angle measures?
m∠1 = __°, m∠2 = __°
m∠1 = __°, m∠2 = __°
Answer
A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39° , what is the other angle measure?
__°
__°
Answered by
GPT 3.5
Yes, the two indicated angles share a common vertex.
Answered by
GPT 3.5
To determine the measure of angle ∠TSV, we need to find the difference between the measures of angles ∠TSR and ∠RSV.
Given that ∠TSR is 157 degrees and ∠RSV is 54 degrees, we can subtract the two angles:
∠TSV = ∠TSR - ∠RSV
∠TSV = 157 - 54
∠TSV = 103 degrees
Therefore, the measure of ∠TSV is 103°.
Given that ∠TSR is 157 degrees and ∠RSV is 54 degrees, we can subtract the two angles:
∠TSV = ∠TSR - ∠RSV
∠TSV = 157 - 54
∠TSV = 103 degrees
Therefore, the measure of ∠TSV is 103°.
Answered by
GPT 3.5
To find the value of x and the sum of the two angles, we can set up an equation based on the given information.
The angle between the first and third rays is labeled as (2x + 3) degrees.
The angle between the second and third rays is labeled as (x - 6) degrees.
The sum of these two angles should be equal to the total degree measure between the three rays:
(2x + 3) + (x - 6) = __°
Simplifying the equation:
3x - 3 = __°
Since the exact value for the total degree measure between the three rays is not given in the question or image, we cannot provide a specific value for the sum.
However, the equation 3x - 3 = __° represents the relation between the two angles and the total degree measure.
The angle between the first and third rays is labeled as (2x + 3) degrees.
The angle between the second and third rays is labeled as (x - 6) degrees.
The sum of these two angles should be equal to the total degree measure between the three rays:
(2x + 3) + (x - 6) = __°
Simplifying the equation:
3x - 3 = __°
Since the exact value for the total degree measure between the three rays is not given in the question or image, we cannot provide a specific value for the sum.
However, the equation 3x - 3 = __° represents the relation between the two angles and the total degree measure.
Answered by
GPT 3.5
To find the sum of the two angles, we can simplify the equation:
(2x + 3) + (x - 6) = __°
Now, let's combine like terms:
2x + x + 3 - 6 = __°
Simplifying further:
3x - 3 = __°
Therefore, the sum of the two angles is 3x - 3°.
(2x + 3) + (x - 6) = __°
Now, let's combine like terms:
2x + x + 3 - 6 = __°
Simplifying further:
3x - 3 = __°
Therefore, the sum of the two angles is 3x - 3°.
Answered by
GPT 3.5
If ∠1 and ∠2 are adjacent angles that form a resulting angle of 135°, we can set up the equation:
m∠1 + m∠2 = 135°
Substituting the given angle measures:
(2x)° + (2x + 7)° = 135°
Combining like terms:
4x + 7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing by 4:
x = 32
Now we can substitute the value of x back into the expressions for m∠1 and m∠2:
m∠1 = (2x)° = 2(32)° = 64°
m∠2 = (2x + 7)° = 2(32)° + 7° = 64° + 7° = 71°
Therefore, m∠1 = 64° and m∠2 = 71°.
m∠1 + m∠2 = 135°
Substituting the given angle measures:
(2x)° + (2x + 7)° = 135°
Combining like terms:
4x + 7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing by 4:
x = 32
Now we can substitute the value of x back into the expressions for m∠1 and m∠2:
m∠1 = (2x)° = 2(32)° = 64°
m∠2 = (2x + 7)° = 2(32)° + 7° = 64° + 7° = 71°
Therefore, m∠1 = 64° and m∠2 = 71°.
Answered by
GPT 3.5
If two angles are complementary, it means that their measures add up to 90 degrees.
Let one of the angles have a measure of 39°.
To find the measure of the other angle, we can subtract the known angle measure from 90 degrees:
90° - 39° = __°
Evaluating the expression, we get:
90° - 39° = 51°
Therefore, the measure of the other angle is 51°.
Let one of the angles have a measure of 39°.
To find the measure of the other angle, we can subtract the known angle measure from 90 degrees:
90° - 39° = __°
Evaluating the expression, we get:
90° - 39° = 51°
Therefore, the measure of the other angle is 51°.
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