If line segment WP is an angle bisector, m<HWA=(7s+16), m<PWA=15 find s, and m<HWA.

To find the value of s and the measure of angle HWA (m<HWA), we can use the fact that line segment WP is an angle bisector.

An angle bisector divides an angle into two congruent angles. Thus, we can set up an equation to find the measure of angle HWA.

Since m<PWA = 15 and line segment WP is an angle bisector, we can set up the following equation:

m<PWA = m<HWA

Substituting the given values:

15 = 7s + 16

Now, let's solve the equation to find the value of s:

15 - 16 = 7s

-1 = 7s

Dividing by 7 on both sides:

s = -1/7

Therefore, the value of s is -1/7.

To find the measure of angle HWA (m<HWA), substitute the value of s back into the equation:

m<HWA = 7s + 16

m<HWA = 7(-1/7) + 16

m<HWA = -1 + 16

m<HWA = 15

Therefore, the measure of angle HWA (m<HWA) is 15.