# The angles of a triangle are in the ratio 3:4:5. What is the measure of the smallest angle?

##### 1 Answer

Apr 30, 2018

45 is the smallest angle in your triangle.

#### Explanation:

The sum of the interior angles of a triangle will be 180

Therefore, think of the ratios of 3:4:5 as variables followed by "x" (3x, 4x, and 5x).

Combine like terms and set the equation equal to 180, the amt. of degrees in a triangle:

123

Now, divide to isolate for

Now, substitute x for 15 in your variables:

3

3(15), 4(15), and 5(15)

45, 60, and 75 = 180

Therefore, 45 is the smallest angle.