An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 50°. The measures of the other interior angles are in the ratio 2 ∶ 3. What are the measures of the other interior angles?

The correct answers are 52° and 78°.

Step-by-step explanation:

We know that the total sum of the three interior angles of a triangle is given to be 180°.

Value of one angle is given to be 50°.

The other two angles are given to be in the ratio 2 : 3.

Therefore by the given condition, let the two angles be 2x° and 3x°.

Thus, 2x + 3x = 180 - 50

⇒ 5x = 130

⇒ x = 26

Thus the values of the two angles are 2×26 = 52° and 3×26 = 78°.