Answer :

Answer:

  • m∠F = 40°
  • m∠G = 40°
  • m∠H = 100°

Step-by-step explanation:

You want the measure of triangle angles F, G, H if the ratio of their measures is 4:4:10.

Ratio units

The sum of the ratio units is 4+4+10 = 18. The sum of angles in the triangle is 180°. This tells us each ratio unit represents 180°/18 = 10°. Multiplying the ratio by 10° gives us the angle measures:

  F : G : H = 4 : 4 : 10 = 40° : 40° : 100°

  • m∠F = 40°
  • m∠G = 40°
  • m∠H = 100°

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