Question

One of the exterior angle of triangle is 125°and the interior opposite angle are in the
ratio 2:3 find the angles of the triangle
​

Answer 1

angles of Δ are 50°, 75° and 55°

Step-by-step explanation:

Let the interior angles be x

as per question,

2x + 3x = 125° (exterior angle property)

5x = 125°

x = 125/5

x = 25

Thus angles are 2×25=50 and 3×25 = 75

y + 125° = 180°(linear pair)

y = 180° - 125°

y = 55°

Answer 2

Let us assume the interior opposite angles as 2x and 3x respectively,

Given measure of exterior angle = 125°

We know that exterior angle of a triangle is equal to the sum of the interior opposite angles . Thus we get ,

2x + 3x = 125°

5x = 125

$\sf\implies\:\dfrac{125}{5}\:=\:x$

x = 25

Therefore the interior opposite angles are as follows ;

2x = 2 × 25

= 50°

3x = 3 × 25

= 75°