Answer:
The measure of its complement is 40°
Explanation:
- The sum of the measures of the complementary angles is 90°
- If the measure of an angle is x°, then the measure of its complement is 90° - x°
∵ The measure of angle PQR equal 50 degrees
∴ m∠PQR = 50°
∵ Angle x is the complement angle of angle PQR
→ That means the sum of the measures of angle x and angle PQR is 90°
∴ m∠x + m∠PQR = 90
→ Substitute measure of angle PQR by 50°
∴ m∠x + 50 = 90
→ Subtract 50 from both sides
∴ m∠x + 50 - 50 = 90 - 50
∴ m∠x = 40°
∴ The measure of its complement is 40°