Linear Pair Angles
Explore and identify linear pair angles, their properties, and how to calculate missing angles in a linear pair.
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Linear Pair Angles Worksheet
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Read each question carefully and answer to the best of your ability. Remember that angles in a linear pair add up to 180 degrees.
A linear pair is a pair of adjacent angles formed when two lines intersect. The sum of the measures of angles in a linear pair is always 180 degrees.
In the diagram above, ∠1 and ∠2 form a linear pair.
1. What is the sum of the measures of angles in a linear pair?
90 degrees
180 degrees
270 degrees
360 degrees
2. Which of the following describes a linear pair?
Two angles that are congruent.
Two adjacent angles that form a straight line.
Two angles that add up to 90 degrees.
Two angles that share a common vertex.
3. A linear pair consists of two angles.
4. The non-common sides of a linear pair form a line.
5. If one angle in a linear pair measures 70 degrees, what is the measure of the other angle?
6. Two angles form a linear pair. If one angle is represented by (2x + 10) degrees and the other by (3x + 20) degrees, find the value of x.
7. All adjacent angles are linear pairs.
True
False
8. If two angles form a linear pair, they are supplementary.
True
False
Match each term to its definition.
9. Adjacent Angles
a. Angles that add up to 180 degrees
10. Supplementary Angles
b. Angles that share a common vertex and side
11. Linear Pair
c. A pair of adjacent angles whose non-common sides form a straight line