Question

in the given figure,if SP||RQ and angle Q measures 130°,find measures of angle p and angle s.​

Answer 1

Answer:  Given: SP║RQ, ∠R = 90° and ∠Q = 130°.

To find: The measure of ∠P.

Answer:

It is given that SP║RQ. So let us assume that PQ is the transversal.

Therefore, ∠P + ∠Q = 180° (Co - interior Angles are Supplementary)

∠P + 130° = 180°

∠P = 180° - 130°

∠P = 50°

Now let us assume that SR is the transversal.

Therefore, ∠S + ∠R = 180° (Co - interior Angles are Supplementary)

∠S + 90° = 180°

∠S = 180° - 90°

∠S = 90°