Math Problem Statement

∠PQR and ∠SQR form a linear pair. Find the sum of their measures.

Solution

When two angles form a linear pair, they are adjacent and their non-common sides form a straight line. Therefore, the sum of their measures is always 180°.

Thus: The sum of PQR and SQR is 180.\text{The sum of } \angle PQR \text{ and } \angle SQR \text{ is } 180^\circ.

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Related Questions:

  1. What is the definition of a linear pair of angles?
  2. How do you prove that two angles form a linear pair?
  3. If one angle of a linear pair measures 7575^\circ, what is the measure of the other angle?
  4. Can two right angles form a linear pair? Why or why not?
  5. How do linear pairs relate to supplementary angles?

Tip: Remember, angles that form a linear pair are always supplementary!

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Math Problem Analysis

Mathematical Concepts

Geometry
Linear Pair of Angles
Supplementary Angles

Formulas

Sum of angles in a linear pair = 180°

Theorems

Linear Pair Theorem
Supplementary Angle Theorem

Suitable Grade Level

Grades 6-8