Question

3) Find m/HGY if m/YGF = x + 110, m/HGF = 124°, and m/HGY=38 + x.

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Answer 1

98

Explanation:

∠YGF + ∠HGY = ∠HGF

Rewrite the equation using given values:

x + 110 + 38 + x = 124

• Add like terms.

2x + 148 = 124

• Subtract 148 from both sides.

2x = -24

• Divide both sides by 2.

x = -12

To find the measure of ∠HGY, replace x with -12:

110 - 12 = 98