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lesya692 [45]
3 years ago
10

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

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

c. 25°

Step-by-step 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 = \frac{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.

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