Question

1. Ray PB bisects ZRPT so that mZRPB = x + 2 and m2TPB = 2x - 6. Calculate x, m

Answer 1

1) Let's draw that angle

2) According to the Bisector Theorem the ray PB bisects the angle into two congruent angles so we can write

x +2 = 2x-6

x-2x=-6-2

-x=-8

x=8

Angle RPB = x +2 m RPB = (8)+2 m RPB=10

Angle TPB = 2x -6 2(8)-6 m TPB= 10