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8.1 Using Angle Relationships to find Angle Measures (Due 3/8/22)

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Last updated about 1 year ago
26 questions
Note from the author:
Essential Question: How can you find the measures of angles formed by intersecting lines? Learning Target: Students will be able to classify angles formed by intersecting lines and apply that knowledge to calculate the angle measurements.


Complete the entire document and show all work for full credit.
Essential Question: How can you find the measures of angles formed by intersecting lines? Learning Target: Students will be able to classify angles formed by intersecting lines and apply that knowledge to calculate the angle measurements.


Complete the entire document and show all work for full credit.
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Use this video to help you answer the question on the assignment.


Angles formed by Intersecting Lines

Question 1
1.

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

Draggable itemarrow_right_altCorresponding Item
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Vertical angles
Any two angles whose sum is 180°
arrow_right_alt
Supplementary angles
Any two angles whose sum is 90°
arrow_right_alt
Complementary angles
Two angles that share a vertex and
a common side. They are next to each other
arrow_right_alt
Linear pairs
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
arrow_right_alt
Adjacent Angles
Question 2
2.

Draw an example of vertical angles.

Question 3
3.

Draw an example of adjacent angles.

Question 4
4.

Draw an example of supplementary angles.

Question 5
5.

Draw an example of complementary angles.

Angles formed by Intersecting Lines

Question 6
6.

Select all the adjacent angles to ∠1

Question 7
7.

Select all the vertical angles to ∠6

Question 8
8.

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

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
Vertical angles
arrow_right_alt
Supplementary angles
arrow_right_alt
Complementary angles
arrow_right_alt
Linear pairs
arrow_right_alt
Adjacent Angles
Question 9
9.

What is the value of x?

Question 10
10.

What is the value of x?



Question 11
11.

What is the value of x?




Angles formed by Intersecting Lines

Angles formed by Intersecting Lines

Question 12
12.

What is the value of y?

Question 13
13.

What is the value of x?














Question 14
14.

What is the value of z?

Question 15
15.

What is the value of z?


Question 16
16.

What is the value of y?

Question 17
17.

What is the value of x?

Question 18
18.

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

Question 19
19.

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

Question 20
20.

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

Question 21
21.

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


  1. Make 3x+47 equal to 6x-25; because vertical angles are equal
  2. Add 25 to both sides of the equation
  3. Divide both sides of the equation by 3
  4. 6(24)-25=119; therefore the m∠SQR=119°
  5. Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
  6. x=24
  7. Subtract 3x from both sides of the equation
Question 22
22.

If m∠PQT =109° and m∠SQR = (4x – 15)°, find the value of x.

Question 23
23.

If m∠PQT =109° what is the measure of m∠TQR?.

Question 24
24.

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

Question 25
25.

What is the measure of∠GEF?

Question 26
26.

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