Question

The diagonals of a quadrilateral PQRS are equal and meet at O. The opposite sides of the quadrilateral are equal. If Angle SPR =50° . Find... Angle PSO Angle POS Angle QSR ____________________________________​

Answer 1

Answer:

Step-by-step explanation:

Diagonal Are Equal.

Opposite Sides are Equal .

PQRS is a Parallelogram.

Also Diagonal interested at 'O' and Bisect each other.

PO = OS

∠SPO = ∠OSP = 50°

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In △ POS,

50° + 50° + x° = 180° (Sum of angle)

100° + x° = 180°

x° = 180° - 100°

x° = 80°

∠SOP = 80° and ∠SPO = 50°