m∠2 + m∠4 = 90°
47° + m∠4 = 90°
m∠4 = 43°
Therefore, m∠4 = 43°.
.Use the image to answer the question.
An illustration shows five rays emerging from a point labeled A, forming the following angles from left to right: 1, 2, 3, 4, and 5. Angles 1 and 2 together form a right angle.
If m∠2=47° , what is m∠4 ?
(1 point)
°
7 answers
Use the image to answer the question.
An illustration shows a slanting line intersecting with two lines that appear parallel. The angles that the slanting line forms with the top line are labeled from the top left in a clockwise direction as 1, 2, 4, and 3. The angles that the slanting line forms with the bottom line are labeled from the top left in a clockwise direction as 5, 6, 8, and 7.
m∠5=112° and m∠8=(2x+8)° . What equation will solve for x ?
(2 points)
x°+
°=
°
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An illustration shows a slanting line intersecting with two lines that appear parallel. The angles that the slanting line forms with the top line are labeled from the top left in a clockwise direction as 1, 2, 4, and 3. The angles that the slanting line forms with the bottom line are labeled from the top left in a clockwise direction as 5, 6, 8, and 7.
m∠5=112° and m∠8=(2x+8)° . What equation will solve for x ?
(2 points)
x°+
°=
°
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m∠5 and m∠8 are corresponding angles because the slanting line is intersecting a pair of parallel lines. Corresponding angles are equal.
So, m∠8 = m∠5
(2x + 8)° = 112°
Solve for x:
2x + 8 = 112
2x = 104
x = 52
Therefore, x = 52.
So, m∠8 = m∠5
(2x + 8)° = 112°
Solve for x:
2x + 8 = 112
2x = 104
x = 52
Therefore, x = 52.
For two vertical angles with measures m∠1=(2x+26)° and m∠3=(3x+32)° , what is the measure of each angle?(1 point)
°
°
Vertical angles are congruent, so they have the same measure.
Given:
m∠1 = 2x + 26
m∠3 = 3x + 32
Since m∠1 = m∠3, we can set them equal to each other:
2x + 26 = 3x + 32
Solve for x:
- x = 6
Now, substitute x back into either equation to find the measure of each angle:
m∠1 = 2(6) + 26 = 12 + 26 = 38°
m∠3 = 3(6) + 32 = 18 + 32 = 50°
Therefore, the measure of angle 1 is 38° and the measure of angle 3 is 50°.
Given:
m∠1 = 2x + 26
m∠3 = 3x + 32
Since m∠1 = m∠3, we can set them equal to each other:
2x + 26 = 3x + 32
Solve for x:
- x = 6
Now, substitute x back into either equation to find the measure of each angle:
m∠1 = 2(6) + 26 = 12 + 26 = 38°
m∠3 = 3(6) + 32 = 18 + 32 = 50°
Therefore, the measure of angle 1 is 38° and the measure of angle 3 is 50°.
In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C . If m∠A=22° , write an equation that you can use to solve for m∠C .(2 points)
Given:
∠A and ∠B are vertical angles, so they have the same measure.
∠B is a complementary angle with ∠C, which means ∠B + ∠C = 90°
Since ∠A = ∠B, and m∠A = 22°, then m∠B = 22°.
To solve for m∠C, the equation can be written as:
m∠B + m∠C = 90°
22° + m∠C = 90°
Therefore, the equation is:
22° + m∠C = 90°.
∠A and ∠B are vertical angles, so they have the same measure.
∠B is a complementary angle with ∠C, which means ∠B + ∠C = 90°
Since ∠A = ∠B, and m∠A = 22°, then m∠B = 22°.
To solve for m∠C, the equation can be written as:
m∠B + m∠C = 90°
22° + m∠C = 90°
Therefore, the equation is:
22° + m∠C = 90°.