Question

A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).

What is the measure of the smallest angle in the triangle?

O A. 17°

O B. 190

O c. 25°

OD. 57°

Answer 1

c. 25°

Explanation:

Sum of angles in a triangle:

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

In this question:

Angles of 3x, 2x-13 and 5x + 3.

The sum is 180º. So

`3x + 2x - 13 + 5x + 3 = 180`

`10x - 10 = 180`

`10x = 190`

`x = (190)/(10)`

`x = 19`

Measure of each angle:

3x = 3(19) = 57º

2x - 13 = 2(19) - 13 = 38 - 13 = 25º

5x + 13 = 5(19) + 3 = 95 + 3 = 98º

The smallest angle is 25º, and the correct answer is given by option c.