Grade 8 Linear Pair Angles Worksheet
This worksheet helps 8th-grade students understand and apply the concept of linear pairs, including identifying linear pairs and calculating unknown angle measures.
Includes
Standards
Topics
Linear Pair Angles
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
A linear pair is a pair of adjacent angles formed when two lines intersect. The angles in a linear pair are supplementary, meaning their measures add up to 180 degrees.
1. Which of the following pairs of angles forms a linear pair?
∠A and ∠B
∠B and ∠C
∠C and ∠D
∠A and ∠C
2. Angles that form a linear pair are always .
3. The sum of the measures of angles in a linear pair is degrees.
4. If ∠1 and ∠2 form a linear pair and m∠1 = 75°, find m∠2.
5. In the diagram below, ∠PQR and ∠RQS form a linear pair. If m∠PQR = (3x + 10)° and m∠RQS = (2x + 20)°, find the value of x.
6. All adjacent angles are linear pairs.
True
False
7. If two angles form a linear pair, then they are always supplementary.
True
False
8. Two angles, (5y - 15)° and (3y + 5)°, form a linear pair. Find the measure of each angle.