Question

the base angle of an isosceles triangle is 24 degree more than Vertical angle find the measure of each angle
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Answer 1

Answer:

Consider the vertical angle of the isosceles triangle =x∘

Here each base angle=x+15∘

In a triangle

x+15∘+x+15∘+x=180∘

By further calculation

3x+30∘=180∘

3x=180–30=150∘

x=150/3=50∘

Therefore, vertical angle =50∘ and each base angle =50+15=65∘