Question

A triangle has an angle that measures 35°. The other two angles are in a ratio of 13:16. What are the measures of those two angles?

Answer 1

Let's denote the measures of the other two angles by 13x and 16x, where x is a constant.

Since the sum of the angles in a triangle is always 180 degrees, we can write an equation:

35 + 13x + 16x = 180

Simplifying this equation, we get:

29x = 145

x = 5

Therefore, the measures of the other two angles are:

13x = 13(5) = 65 degrees

16x = 16(5) = 80 degrees

So, the measures of the other two angles are 65 degrees and 80 degrees.

Explanation: