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zaharov [31]
2 years ago
10

Please help for 50 POINTS!!!!

Mathematics
1 answer:
Debora [2.8K]2 years ago
7 0

Solution:

<u>We know that:</u>

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

<u>This means that:</u>

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

Equation created: 58 + x + x = 180

<u>Simplify the LHS.</u>

  • 58 + x + x = 180
  • => 58 + 2x = 180

<u>Subtract 58 both sides.</u>

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

Thus, the measure of ∠GIH is 61°.

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