Question

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?

Answer 1

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=\frac{12}{4}=3$

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

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