Question

Please help for 50 POINTS!!!!

Answer 1

Solution:

We know that:

• Sum of interior angles of triangle: 180°
• Those 2 bars drawn on GH and IH defines that GH = IH.

This means that:

• The triangle is an isosceles triangle.
• The bottom two angles are equal.

Equation created: 58 + x + x = 180

Simplify the LHS.

• 58 + x + x = 180
• => 58 + 2x = 180

Subtract 58 both sides.

• 58 - 58 + 2x = 180 - 58
• => 2x = 122
• => x = 61

Thus, the measure of ∠GIH is 61°.