Question

The three angles of a triangle measure 2x - 11,

3x + 15, and 4x + 14. What is the measure of the
smallest angle in degrees?

Answer 1

The smallest angle is 25 degrees . Hope this helped

Answer 2

The smallest angle is 25°

Explanation:

A triangle has 180 degrees.

(2x - 11) + (3x + 15) + (4x + 14) = 180

Simplify:

9x + 18 = 180

Subtract 18 from both sides:

9x = 162

Divide both sides by 9:

x = 18

Now you can calculate the measures of the angles:

2(18) - 11 = 25°

3(18) + 15 = 69°

4(18) + 14 = 86°

The smallest angle is 25°