Q6 of 35 Page 73

Diagonals of a rectangle PQRS are intersecting in point M. If ∠QMR = 50° then find the measure of ∠MPS.

The figure is given below:



Given PQRS is a rectangle


⇒ PS ∥ QR (opposite sides are equal and parallel)


QS and PR are transversal


So ∠ QMR = ∠ PMS (vertically opposite angles)


Given ∠ QMR = 50°


∴ ∠ PMS = 50°


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