# The angles of a triangle have the ratio 3:2:1. What is the measure of the smallest angle?

##### 2 Answers

Jun 9, 2018

#### Explanation:

#"the sum of the angles in a triangle "=180^@#

#"sum the parts of the ratio "3+2+1=6" parts"#

#180^@/6=30^@larrcolor(blue)"1 part"#

#3" parts "=3xx30^@=90^@#

#2" parts "=2xx30^@=60^@#

#"the smallest angle "=30^@#

Jun 9, 2018

The smallest angle is

#### Explanation:

Let the triangle be

Now, we know that all the 3 angles of a triangle sum up to be

Now assigning the angles their values,

Now, as we can clearly observe, the smallest angle is

which is

Hence, the smallest angle is of