Question

One side of triangle is produced making an exterior angle of measure 126°. If the interior
opposite angles are in the ratio 2:5. Find the measure of each angle of the triangle. What kind of
triangle it is?with figure​

Answer 1

Answer:

Exterior angle = sum of opposite angles

Solve x:

Given that the ratio is 2 : 5

Let x be the constant ration

2x + 5x = 126

7x = 126

x = 18

Find the angles:

2x = 2(18) = 36°

5x = 5(18) = 90°

Answer: The two angles are 36° and 90°