Q13 of 24 Page 16

In Fig. 16.20, find the measure of ∠MPN.

Sum of angles of a quadrilateral is 360°


In the quadrilateral MPNO


∠NOP = 45°, ∠OMP = ∠PNO = 90°,


Let angle ∠MPN is x°


∠NOP + ∠OMP + ∠PNO + ∠MPN = 360°


45° + 90° + 90° + x° =


x° =


x° = 135°


Therefore ∠MPN is 135°


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