Question

ABC is an isosceles triangle with it's base BC produced to D if A= 75 calculate ACD​

Answer 1

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Answer 2

127.5

Explanation:

Given ABC is an isosceles triangle where base is BC

The angles on BC will be equal.

Sum of angles in a triangle is equal to 180 degrees

∠A + ∠B + ∠C = 180 ( let ∠B = ∠C )

75 + ∠B + ∠B = 180

2(∠B) = 180 - 75

2(∠B) = 105

∠B = 52.5

We know that, on a straight line the angle is equal to 180 degrees

∠ACB + ∠ACD = 180

52.5 + ∠ACD = 180

∠ACD = 180 - 52.5

∠ACD = 127.5

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