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Angle Relationships Practice Guide

The document is a practice tutorial focused on angle relationships, including adjacent, vertical, complementary, and supplementary angles. It provides various problems and sample answers to help students understand how to find angle measures and relationships. The tutorial also includes higher-order thinking questions to challenge students' understanding of the concepts presented.

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deepaksharma1976
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58 views2 pages

Angle Relationships Practice Guide

The document is a practice tutorial focused on angle relationships, including adjacent, vertical, complementary, and supplementary angles. It provides various problems and sample answers to help students understand how to find angle measures and relationships. The tutorial also includes higher-order thinking questions to challenge students' understanding of the concepts presented.

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.
Sample answers: jNOP and jPOQ; jPOQ and P Q
jQOR jNOQ and jQOR; jNOP and jPOR
b. What common point is shared by all adjacent angles
in this figure? N O R
Point O

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.
jKOL, jKON, jNOP M O K

b. Why is Dexter’s claim incorrect? N


Sample answer: jLON overlaps jMON P

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


240 U
b. Explain how to find the value of x without using
vertical angles. °x F
(2
6)
Sample answer: Use supplementary
H
angles to determine that jMHF and
jQHU each measure 140°. These 40°
angles each have measures that Q
are supplementary to mjUHF; M
140 + x6
= 180; x = 240
(The figure is not shown to scale.)

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


Explain your answer.
72°; Sample answer: x + 18° = 90°; x = 72°

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


adjacent to ∠1? Explain.
51°; Sample answer: x + 39° = 90°; x = 51°.

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.
51.1°; Sample answer:
x + 128.9° = 180°; x = 51.1°

3x° 54°

42

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.
x = 20; y = 35; mj1 = 90°; mj3 = 66°; 2
Sample answer: j1 is a right angle, 1 3
so mj1 = 90°. Solve the equation
(125 − y)° = 90°; y = 35. j2 and j3 are
complementary angles. Solve the equation
24° + mj3 = 90°; mj3 = 66°. Substitute
the given expression for mj3 and solve
the equation (x + 46)° = 66°; x = 20.

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

20 b

20°

40°

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

36 4x x

104 8-4 Solve Problems Using Angle Relationships

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