Question

in quadrilateral PQRS,SM and RM are the angle bisector of angle s and r respectively and meet at M if angle p =110° and angle q =120°,find angle SMR
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Answer 1

sm and rm are angel bisector and opposite angel of quadrilateral are equal

so angel p=r and q= a

r=120 and s=110

therefore by mrs =60 degree and =55 degree(angel bisector)

let smr be x

55 +60+x=180° (ANGEL SUM PROPERTY

x=180-115

x=65

therefore angel smr=65°