Question

1. In A ABC, AB = AC, ZA = 2x° and Z B = x + 10°. Find the
measures of all the angles of A ABC.
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Answer 1

This Is A isosceles triangle.

Angle B = Angle C = x + 10°

Angle A = 2x°

In a triangle, the sum of all the interior angles adds up to 180°

Hence, 2x + 20° + 2x° = 180°

4x° = 160°

x = 40°

Angle A = 2x = 80°

Angle B = [ 180° - 80° / 2 ] = 50°

Angle C = 50°