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Angle Relationships Practice Tutorial

The document is a practice tutorial focused on angle relationships, including adjacent, vertical, complementary, and supplementary angles. It contains a series of problems that require identifying angles, explaining relationships, and solving for unknown values. The tutorial aims to enhance understanding of geometric concepts related to angles.

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deepaksharma1976
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219 views2 pages

Angle Relationships Practice Tutorial

The document is a practice tutorial focused on angle relationships, including adjacent, vertical, complementary, and supplementary angles. It contains a series of problems that require identifying angles, explaining relationships, and solving for unknown values. The tutorial aims to enhance understanding of geometric concepts related to angles.

Uploaded by

deepaksharma1976
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PRACTICE TUTORIAL

Name:

8-4 Additional Practice Scan for


Multimedia
1. a. Name a pair of adjacent angles in this figure.
P Q

b. What common point is shared by all adjacent angles


in this figure? N O R

2. Dexter needs to find each angle in this figure that is adjacent


L
to ∠LON. He claims that ∠MON is adjacent to ∠LON.
a. List each angle that is adjacent to ∠LON.
M O K

b. Why is Dexter’s claim incorrect? N


P

3. a. Use vertical angles to find the value of x.


U
b. Explain how to find the value of x without using
vertical angles. °x F
(2
6)

H
40°

Q
M

(The figure is not shown to scale.)

4. Find the measure of the complement to an 18° angle.


Explain your answer.

5. The measure of ∠1 is 39°. What is the measure of the angle


adjacent to ∠1? Explain.

8-4 Solve Problems Using Angle Relationships 103


6. The adjacent angles shown below are 7. Find the supplementary angle to an angle
supplementary. Find the value of x. that is 128.9°. Explain your answer.

3x° 54°

8. Higher Order Thinking In the diagram, m∠1 = (125 - y)°,


m∠2 = 24°, and m∠3 = (x + 46)°. Solve for x and y and find
m∠1 and m∠3. Explain how you found the measure
of each angle and the value of each variable.
2
1 3

Assessment Practice
9. What is the measure, in degrees, of angle b?

20°

40°

10. What is the measure, in degrees, of the highlighted angle?

4x x

104 8-4 Solve Problems Using Angle Relationships

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