In a quadrilateral PQRS, angle P = 3 angle Q and angle R = 4 angle S If angle - Maths - Understanding Quadrilaterals

Question

In a quadrilateral PQRS, angle P = 3 angle Q and angle R = 4 angle
S If angle Q = angle S, then find all the four angles Pls help me
with this question

Yash Raj · Accepted Answer

Dear Student

We have ∠P=3∠Q∠R=4∠S∠Q=∠SBy angles sum property of a quadrilateral,∠P+∠Q+∠R+∠S=3603∠Q+∠S+4∠S+∠S=3603∠S+∠S+4∠S+∠S=3609∠S=360∠S=40∠Q=40∠R=160∠P=120So the four angles are 40°,40°,160°,120°

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In a quadrilateral PQRS, angle P = 3 angle Q and angle R = 4 angle S. If angle Q = angle S, then find all the four angles. Pls help me with this question.