Find the measure of ∠P and ∠S if SP || RQ in Fig. (If you find m∠R, is there more than one method to find m∠P?)<p></p>

SP || RQ given
∴∠P + ∠Q = 180° interior angles
∴∠P + 130° = 180°
∴∠P = 50°
m∠R = 90° given
In □PQRS, ∠P + ∠Q + ∠R + ∠S = 360° Angle sum property of quadrilateral
∴50° + 130° + 90° + ∠S = 360°
∴∠S = 90°

Eduprobe

Question:

Find the measure of ∠P and ∠S if SP || RQ in Fig. (If you find m∠R, is there more than one method to find m∠P?)

Solution: