# The angles of triangle ABC are in the ratio of 8:3:4. What is the measure of the smallest angle?

##### 1 Answer

Feb 9, 2018

#### Answer:

#### Explanation:

#"sum the parts of the ratio"#

#rArr8+3+4=15" parts"#

#"consider the sum of the 3 angles in 15 parts"#

#"so "180^@/15=12^@larrcolor(blue)"1 part"#

#rArr"8 parts "=8xx12=96^@#

#rArr"3 parts "=3xx12=36^@#

#rArr"4 parts "=4xx12=48^@#

#rArr"smallest angle "=36^@#