Question

one of the exterior angle of a triangle is 105 and the interior oppsite angle are in the ratio 2:5. find the angles of the triangle​

Answer 1

Answer:

interior angles 1 = 105x2/7=30

2 = 105x5/7=75

30&75. Ans

Answer 2

Let interior opposite angles be 2x and 5x

Now exterior angle is equal to the sum of interior opposite angles.

So, 2x+5x=105°

7x=105°

x=105°/7 =15°

Angles:2x =30°

5x=75°

3rd angle =180°-30°-75°=75°