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#3 Using Angle Relationships to find Angle Measures (Due 1/14/22)

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Last updated about 2 hours ago
24 questions
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10
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Question 1
1.

Match the definition of the angle relationship with the angle relationships it describes...

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Two angles across from each other on
intersecting lines. They are always congruent!
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Vertical angles
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Question 2
2.

Match the image with the angle relationship it describes...

Draggable itemarrow_right_altCorresponding Item
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Vertical angles
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Question 3
3.

Draw an example of supplementary angles.

Question 4
4.

Draw an example of complementary angles.

Question 5
5.

Select all the adjacent angles to ∠1

Question 6
6.

Select all the vertical angles to ∠6

Question 7
7.

What is the value of x?

Question 8
8.

What is the value of x?



Question 9
9.

What is the value of x?




Question 10
10.

What is the value of y?

Question 11
11.

What is the value of x?














Question 12
12.

What is the value of z?

Question 13
13.

What is the value of z?


Question 14
14.

What is the value of y?

Question 15
15.

What is the value of x?

Question 16
16.

∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.

Question 17
17.

∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.

Question 18
18.

∠P and ∠Q are supplementary angles. If the measure of ∠Q is 64°, find the measure of ∠P.

Question 19
19.

What is the correct order of steps to solve this problem?


  1. Solve for x
  2. Substitute the value of x into 6x-25 to find out what the m ∠SQR equals
  3. Make 3x+47 equal to 6x-25; because vertical angles are equal
Question 20
20.

If m∠PQT = (3x + 47)° and m∠SQR = (6x – 25)°, find the value of x.

Question 21
21.

If m∠PQT = (3x + 47)° and m∠SQR = (6x – 25)°, find the measure of ∠SQR.

Question 22
22.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x.

Question 23
23.

What is the measure of∠GEF?

Question 24
24.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of y.

Any two angles whose sum is 180°
Supplementary angles
Any two angles whose sum is 90°
Complementary angles
Two angles that are
adjacent and supplementary.
They form astraight line!
Linear pairs
Two angles that are
next to each other and
share a common side.
Adjacent Angles
Supplementary angles
Complementary angles
Linear pairs
Adjacent Angles