Question

If a:b=3;5and c:b=2:1,what is the measure to the largest angle?

Answer 1

Explanation

Since a : b = 3 : 5,

a = 3x and b = 5x.

Since c : b = 2 : 1,

c = 2b = 10x.

Then:

3x + 5x + 10x = 180

=>18x = 180

=>x = 10

put the value

a = 3x = 30°

b = 5x = 50°

c = 10x = 100°

so,the largest angle is C= 100°