Question

In quadrilateral PQRS, angle Q = 80 degrees.

Angle R - angle S = 50 degrees.

angle P - angle R - angle S = 20 degrees.

Find the measures of angles P, R and S


please answer fast

Answer 1

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Answer 2

angle Q +angleR =180(adjacent angle of qudrilateral )
80 +x =180
x=180-80
x=100
angleR =100

angleR -angleS=50 deg
100-angleS =50deg
100-50=angleS
angleS=50deg

angleP-angleR-angleS=20deg
angleP-100-50 =20
angleP=20+150
angleP=170deg


angleR=100deg
angleS=50deg
angleP=170 deg