Question

The largest angle in a triangle is twice the degree measure of the second largest angle. One-third of the largest angle is 10 degrees larger than the difference of the other two. What is the measure in degrees of the smallest angle?

Answer 1

Answer:

Smallest angle=27°

Step-by-step explanation:

Let second largest angle be x

largest angle =2x

third angle =180-3x

Now,

2x/3-10=x-(180-3x)

2x/3-10=x-180+3x)

180-10=4x-(2x/3)

170=10x/3

x=51

smallest angle=180-3(51)

=27 Ans.