Question

The measures of the angles of a triangle are in the extended ratio 2:2:8. What is the measure of the smallest angle? Please show work!

Answer 1

the angles of triangle are in the extended ratio 2:2:8.
when it said ratio, put 'x' behind the number they have you.
2x:2x:8x(triangle add up to 180)
so.. 2x +2x +8x =180
12x=180
x=180/12
x=15
now go back to the original question.
plugin 15 to 'x'
2 (15),2 (15),8 (15)
30,30,120

Answer 2

ratio is 2:2:8
can be simplified
1:1:4
therefor there are 1+1+4=6 units total
total angles in a triangle=180
180=6 units
divide 6
30=1unit
smallest triangle=1 unit (we downsized it so it is now 1 unit)

answer is 30 degrees