Question

Diagnol of a rectangle are intersecting at point M angle QMR = 50°find angle MPS

Answer 1

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°

Answer 2

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