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Introduction

In the adjace...

Question

In the adjacent figure AE = AF, then which of the following is true?

a + b + c = 180^{o}

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a + c = b

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2 c + a = b

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2 a + c = b

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Solution

The correct option is D $2 a + c = b$
In triangle DFB,
$∠ X = b - a$ & AE = AF
So, $∠ X = ∠ Y = b - a$
$∠ D E C = 180 ° - a - c$
$180 ° - b + a = 180 ° - a - c$
$2 a + c = 2 b$
$2 a + c = 2 b$

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