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?
Angle R = xº
2x + 4y = 180
4y = 90º
6y + x = 180
4y = 2y + x
4x = 180
8y = 180
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
