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°
