Question : In an isosceles triangle, if the unequal angle is five times the sum of the equal angles, then each equal angle is:
Option 1: $45^\circ$
Option 2: $60^\circ$
Option 3: $15^\circ$
Option 4: $30^\circ$
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Correct Answer: $15^\circ$
Solution :
Let the equal angles be $x$.
So, unequal angle is $5(x + x) = 10x$
$x + x + 10x = 180^\circ$
⇒ $12x = 180^\circ$
⇒ $x = 15^\circ$
So, each equal angle is $15^\circ$.
Hence, the correct answer is $15^\circ$.
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