Diagnol of a rectangle are intersecting at point M angle QMR = 50°find angle MPS
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Answer:
∠MPS = 65°
Step-by-step explanation:
I am assuming that PQRS is a rectangle.
diagonals are PR and QS intersect at M.
∠QMR = 50°
∴∠PMS=50° (vertically opposite angles)
In ΔPMS , PM = MS ( equal parts of diagonals of rectangle)
∴ΔPMS is an isosceles triangle.
∴ ∠MPS=∠MSP =x°
=> x + x + 50 = 180° (Angle Sum property)
=> x = 65°
∠MPS = 65°
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