Question

11. In an isosceles triangle, the equal angles are one-fourth of the vertical angle. Find the measure of equal
angles​

Answer 1

Answer:

30°

Step-by-step explanation:

Let the vertical angle be x

Equal angles = x/4

x + x/4 + x/4 = 180°

Take LCM

LCM = 4

4x + x + x / 4 = 180°

6x/4 = 180°

3x/2 = 180°

x = 180 × ⅔

x = 120°

Equal angles = ¼x = ¼ × 120° = 30°

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