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Ray XP is the angle bisector of Angle RXQ. Given the measure of Angle RXP 12x and Angle PXQ = 8x +12, What is the measure of Angle PXQ?

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Question given

Ray XP is the angle bisector of Angle RXQ. Given the measure of Angle RXP 12x and Angle PXQ = 8x +12, What is the measure of Angle PXQ?​

Solution

Since XP is the angle bisector of the angle RXQ then we can conclude that the angle RXP is equal to PXQ so we can do the following operation:


12x=8x+12

And we can solve for the value of x and we got:


4x=12
x=(12)/(4)=3

And then we can solve for the value of the angle PXQ and we got:


\text{PXQ}=8(3)+12=36

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