Question

one of the exterior angle of triangle is 125⁰and the interior opposite angle are in the ratio2:3find the angles of triangle​

Answer 1

☘️ Solution:-

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

2x + 3x = 125°

→ 5x = 125°

→ x = $\dfrac{125}{5}$

→ x = 25

.

So,

$\tt \angle \: A = 2x = 2 \times 25 = 50°$

$\tt \angle \:B = 3x = 3 × 25 = 75°$

Now,

$\tt \angle \: A + \angle \:B+ \angle C = 180°$

.

$\tt 50° + 75° + \angle C= 180°$

$\tt 125° + \angle C= 180°$

$\tt \angle C= 180°– 125°$

$\tt \angle C= 55°$

.

Therefore, $\tt \angle A= 50°,~ \angle B=75°,~\angle C=55°$

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☘️ Answer:-

$\tt \angle A= 50°,~ \angle B=75°,~\angle C=55°$

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