Question

In triangle abc, the measure of angle b is 20 more than three times the measure of angle

a. the measure of angle c is 55 more than the measure of angle
a. find the measure of each angle

Answer 1

Let x be the degree of angle a.

Angle b: 20+3x
Angle c: 55+x

We know that all angles add up to 180 degrees.

180=x+(20+3x)+(55+x)
180= 5x+75
180-75=5x
105/5=x
21=x

Angle a: 21 degrees
Angle b: 20+3(21) => 83 degrees
Angle c: 21+55 => 76 degrees

Hope I helped :)