4 years ago

Given: Isosceles Triangle DEF. The measure of vertex Angle D is four times the measure of each base angle E and F.

Mathematics

1 answer:

Citrus2011 [14]4 years ago

7 0

Answer:

∠D = 120°
∠E = ∠F = 30°

Step-by-step explanation:

The ratios of the measures of the angles are ...

D : E : F = 4 : 1 : 1

The sum of ratio units is 6, so each must stand for 180°/6 = 30°. Then the ratios of actual angles are found by multiply the ratio units by 30°:

D : E : F = 120° : 30° : 30°

Angle D is 120°; angles E and F are each 30°.

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