If two adjacent angles with measures (x+18) and x are inside a 90° angle, what is the equation for the two adjacent angles?(1 point)
(x +
°) + x =
°
9 answers
(x + 18°) + x = 90°
Solve Equations with Adjacent Angles Practice
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Question
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 5 x minus 25 right parenthesis degrees. The angle between the second and third rays as labeled as 55 degrees.
Write an equation for the two adjacent angles.
(2 points)
(
x−
)° +
° =
°
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
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 5 x minus 25 right parenthesis degrees. The angle between the second and third rays as labeled as 55 degrees.
Write an equation for the two adjacent angles.
(2 points)
(
x−
)° +
° =
°
(5x-25)° + 55° = 180°
Solve Equations with Adjacent Angles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x ?
A 90 degree angle is shown on a white background. A ray is splitting the 90 degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.
(1 point)
°
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Question
Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x ?
A 90 degree angle is shown on a white background. A ray is splitting the 90 degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.
(1 point)
°
To find x, we can set up an equation by adding the measures of the two adjacent angles:
(x + 4°) + (3x + 2°) = 90°
Now, we can solve for x:
4x + 6° = 90°
Subtract 6° from both sides:
4x = 84°
Divide both sides by 4:
x = 21°
Therefore, x is equal to 21°.
(x + 4°) + (3x + 2°) = 90°
Now, we can solve for x:
4x + 6° = 90°
Subtract 6° from both sides:
4x = 84°
Divide both sides by 4:
x = 21°
Therefore, x is equal to 21°.
Two adjacent angles form a resulting angle with measure 160°. m∠1=3x° and m∠2=(2x+10)°. Solve for x. What are the two unknown angles’ measurements?(1 point)
m∠1=
°, m∠2=
°
m∠1=
°, m∠2=
°
To solve for x, we can set up an equation by adding the measures of the two adjacent angles:
3x + (2x + 10) = 160
Now, we can solve for x:
5x + 10 = 160
Subtract 10 from both sides:
5x = 150
Divide both sides by 5:
x = 30
Now that we have x, we can find the measurements of the two unknown angles:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, the measurements of the two unknown angles are m∠1 = 90° and m∠2 = 70°.
3x + (2x + 10) = 160
Now, we can solve for x:
5x + 10 = 160
Subtract 10 from both sides:
5x = 150
Divide both sides by 5:
x = 30
Now that we have x, we can find the measurements of the two unknown angles:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, the measurements of the two unknown angles are m∠1 = 90° and m∠2 = 70°.
Use the image to answer the question.
An illustration shows three rays extending from a common origin. The angle measures between them are labeled.An illustration shows three rays extending from a common origin. The angles between them are labeled. The first ray extends vertically upward from the vertex, the second ray is inclined upward from the vertex to the right, and the third ray extends horizontally to the right. The angle between the first and the third rays is marked with a right angle symbol. The angle between the first and the second rays is labeled as left parenthesis x plus 4 right parenthesis degrees. The angle between the second and the third rays is labeled as left parenthesis 3x plus 2 right parenthesis degrees.
What are the two unknown angle measures that form the 90° angle?
(1 point)
(x+4)°=
°, (3x+2)°=
°
An illustration shows three rays extending from a common origin. The angle measures between them are labeled.An illustration shows three rays extending from a common origin. The angles between them are labeled. The first ray extends vertically upward from the vertex, the second ray is inclined upward from the vertex to the right, and the third ray extends horizontally to the right. The angle between the first and the third rays is marked with a right angle symbol. The angle between the first and the second rays is labeled as left parenthesis x plus 4 right parenthesis degrees. The angle between the second and the third rays is labeled as left parenthesis 3x plus 2 right parenthesis degrees.
What are the two unknown angle measures that form the 90° angle?
(1 point)
(x+4)°=
°, (3x+2)°=
°
The two unknown angle measures that form the 90° angle are:
(x+4)° and (3x+2)°
(x+4)° and (3x+2)°