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

Question:

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

Solution:

Since the sum of all the angles of a quadrilateral is $360^{\circ}$, we have:

$45^{\circ}+90^{\circ}+90^{\circ}+\angle \mathrm{MPN}=360^{\circ}$

$\Rightarrow 225^{\circ}+\angle \mathrm{MPN}=360^{\circ}$

$\therefore \angle \mathrm{MPN}=135^{\circ}$

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