Question

a triangle has an angle that measures 50°. the other two angles are in a ratio of 5:8. what are the measures of those two angles?

Explanation:

Step1: Find the sum of the other two angles

The sum of the interior - angles of a triangle is 180°. Given one angle is 50°, so the sum of the other two angles is 180 - 50=130°.

Step2: Set up an equation based on the ratio

Let the two angles be 5x and 8x. Then 5x + 8x=130. Combining like - terms, we get 13x = 130.

Step3: Solve for x

Dividing both sides of the equation 13x = 130 by 13, we have x = 10.

Step4: Find the measures of the two angles

The first angle is 5x = 5×10 = 50°. The second angle is 8x = 8×10 = 80°.

Answer:

50, 80