Question

diagonals of a rectangle pqrs are intersecting in point M .if angle QMR is equal to 50 degree then find the measure of angle MPS.​

Answer 1

Answer:

Consider triangle PMS,

angle PMS = angle QMR (vertically opposite angles)

Therefore PMS = 50°

PM = MS ( diagonals of rectangle are equal)

So, angle MPS = angle MSP(angles opposite to equal sides are equal)

Let them be x

Now in a triangle, sum of all angles is 180°

x + x + 50° = 180°

2x = 130°

x = 65°

Angle MPS = x = 65°

#WMK

Answer 2

Answer:

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