If GI bisects angle FGH, find angle HGI

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Waweru · Answer 1 · 2019-06-17T14:31:18+0000

Simply set the two expressions equal since it's a bisector.

4x - 29 = 2x - 3

2x = 26

x = 13. Then plug in to find HGI

2*13-3 = 23 degrees.

Whaleberg · Answer 2 · 2019-06-18T13:46:12+0000

If GI bisects ∠FGH, then m∠FGI = m∠HGI
4x - 29 = 2x - 3
4x - 2x = -3 + 29
2x = 26
x = 26/2
x = 13

m∠HGI = 2x - 3
= 2*13 - 3
= 26 - 3
= 23°