In quadrilateral pqrs, aq and AR are the bisectors of angle q and angle r respectively, such that angle aqr =30 degree and angle arq =40 degree if angle qps =130 degree then find out angle psr
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Answer: 90 degree
Step-by-step explanation:
Total addition of all 4 angles of a quadrilateral =360 deg.
angle p = 130 deg
angle q = 2 x angle aqr = 2 x 30 = 60 degree
angle r = 2 x angle arq = 2 x 40 = 80 deg
so sum of all above angles = 270 deg
angle psr = 360-270 = 90 deg
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