Math, asked by gunjasingh, 1 year ago

one of the exterior angle of a triangle is 12 5 degree and the interior opposite angle are in the ratio, 2:3find the angle of the triangle.

Answers

Answered by Anonymous
3
then 5x=125
x=25
so the angle is
50°and
75°
ok
plz Mark it as a brainliast

Anonymous: plz mark it as a brainliast
Answered by Anonymous
48

☘️ 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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