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

 

 Apr 13, 2022

Best Answer 

 #1
avatar+579 
+2

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

 

smileysmileysmiley

 Apr 13, 2022

5+0 Answers

 #1
avatar+579 
+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

 

smileysmileysmiley

Vinculum Apr 13, 2022
 #2
avatar+65 
-3

Yes ur correct agai what grade r u in

 Apr 13, 2022
 #3
avatar+579 
+3

I'm in 9th grade

Vinculum  Apr 13, 2022
 #4
avatar+65 
-2

that explain it im int 7th

 Apr 13, 2022
 #5
avatar+2666 
0

same lol

BuilderBoi  Apr 13, 2022

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