Linear Pair Angles Worksheet
A Grade 11 math worksheet focusing on understanding and applying the concept of linear pair angles, including problem-solving.
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Linear Pair Angles Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the definition of a linear pair of angles?
2. True or False: If two angles form a linear pair, then they are always congruent.
True
False
3. In the diagram below, identify all linear pairs of angles. List them using proper angle notation (e.g., ∠ABC and ∠CBD).
4. The sum of the measures of angles in a linear pair is always degrees.
5. A linear pair consists of two angles that share a common vertex and a common side, and their non-common sides form a straight line.
6. Angles (3x + 10)° and (2x + 20)° form a linear pair. Find the value of x and the measure of each angle.
7. In the figure below, ∠PQR and ∠RQS form a linear pair. If m∠PQR = 145°, what is m∠RQS?
8. Which of the following statements is true about linear pairs?
They are always complementary.
They are always supplementary.
They are always acute.
They are always obtuse.
9. Two angles form a linear pair. The measure of one angle is 30° less than twice the measure of the other angle. Find the measure of both angles.
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