In the diagram, if angle PQR = \(58^\circ\), what is the measure of angle PMN?

Guest Apr 13, 2022

#1**+2 **

Best Answer

First, its good to know that triangle PRQ and MNP are similar

Angle PQR=RPQ are 58deg

Since PRQ and MNP are similar, both angles RPQ and NPM are 58deg

Since this is an isosceles triangle...

58deg+2(anglePMN)=180

So we get...

2(anglePMN) = 122

Angle PMN =** 61 degrees**

Vinculum Apr 13, 2022