in an isosceles ∆ABC the measure of vertex angle A is 30° more than the measure of each base angle. Find the measure of each angle of triangle
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Step-by-step explanation:
Let the two base angle be x.
so angle A = x + 30°
angle A + angle B + angle C = 180° ( angle sum
property of a
triangle)
= (x + 30°) + x + x = 180°
= x + x + x + 30° = 180°
= 3x = 180° - 30°
= 3x = 150°
= x = 150°/3
= x = 50°
So, x = angle B = angle C = 50°
angle A = x + 30°
= 50° + 30°
= 80°
Therefore, angle A = 80°
angle B = 50°
angle C = 50°
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