Question

In the given figure PQRS is a rectangle and diagonals intersect at O.If angle POQ=94degree find anglePQO, angle PSO and angle SOR

Answer 1

Measure of angle PQO =43°

Measure of angle PSO = 43°

Measure of angle SOR =94°

• point O intersect the rectangle into 4 triangles..

• Given angle POQ =94°

angle SOR = 94° (vertically opposite angle, angle SOR and angle POQ are vertically opposite angles)

• triangle POQ is isosceles triangle.

angle POQ is 94°, so angle QPO and angle PQO will be congruent.

(180 - 94 = 86)

86/2 = 43°

• Therefore angle P and angle Q will be 43 each.angle PSO 43°

similarly angle PSO = 43°