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.