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In the diagram, P is on RS so that QP bisects < SQR. Also, PQ=PR, < RSQ=2y degrees, and < RPQ=4y degrees. What is the measure, in degrees, of < RPQ?

 

 Dec 15, 2021
 #1
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Angle R = xº

2x + 4y = 180

4y = 90º

 Dec 15, 2021
 #2
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6y + x = 180

4y = 2y + x

4x = 180

8y = 180

Guest Dec 15, 2021
 #3
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+1

Find 4y

 

2x+4y=180 (1) and   

x+2y=4y     (2)and

3x+2y=180  (3)

 

rearrange 1  

4y=180-2x

2y=90-x

 

rearrange2

x=2y

 

sub

2y=90-2y

4y=90 degrees

 Dec 15, 2021

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