Question

Find the angle measure. It is not asking for X

Answer 1

Answer:   131 degrees

Work Shown:

(angle JIW) + (angle WIH) = angle JIH

(2x+8) + (101) = 11x + 10

2x+109 = 11x+10

2x-11x = 10-109

-9x = -99

x = -99/(-9)

x = 11

So,

• angle JIW = 2x+8 = 2*11+8 = 22+8 = 30 degrees
• angle WIH = 101 degrees
• angle JIH = 11x+10 = 11*11+10 = 121+10 = 131 degrees

The smaller angles add to 30+101 = 131 to confirm we have the correct answer.

For more information, check out the angle addition postulate.