Question

The diagonals of a rectangle PQRS meet at O. If ∠ ROQ = 50° and ∠ OQR = 70°, then find the measure of ∠ PSO

Answer 1

Answer:

Step-by-step explanation:

if ∠ROQ is 40 then ∠SOP is also 40

(vertically opposite)

therefore by isosceles triangle property (diagonals of rectangle are equal)

180=2x+40

2x=180-40

x=140/2=70

therefore ∠OPS=70 degree

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Answer 2

Answer:

angle oqr=angle pso=70°(alternate interior angles are equal)