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: $30^\circ$

Question

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: $30^\circ$

Team Careers360 · Accepted Answer

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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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∘Option 2: 60∘Option 3: 15∘Option 4: 30∘

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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: $30^{\circ}$