Question

In the following figure, PQRS is a trapezium with PQ||RS. The bisectors of angle P and angle Q meet at M on side RS such that angle PMQ = 80°. If PM = QM, then show that angle S + angle R = 200°.
ANY KIND OF SPAM WOULD BE REPORTED.​

Answer 1

Answer:

100∘

Step-by-step explanation:

In the trapezium PQRS, ∠P +∠S = 180 ∘ (Supplementary angles)

∠S = 180  ∘

−70  ∘

=110  ∘

∠Q + ∠R = 180  ∘

 (Supplementary angles)

∠R = 180  ∘ −80  ∘= 100