Question

The measures of the angles in a triangle are represented by the following expressions. (5x + 6)°. (2x), and (3x + 4)". What is the measure of the smallest angle in the triangle?​

Answer 1

34° is the measure of the smallest angle

Explanation:

The sum of the measures of the angles of a triangle is 180.

So, 5x + 6 + 2x + 3x + 4 = 180

10x + 10 = 180

10x = 170

x = 17

5x + 6 = 5(17) + 6 = 91

2x = 2(17) = 34

3x + 4 = 3(17) + 4 = 51 + 4 = 55