Answer:
18.1 -->Measure of A
54.3° -->Measure of B
107.6° -->Measure of C
Step-by-step explanation:
Equations
The sum of the interior angles of a triangle is 180°. Let's call:
x = measure of angle A
The measure of angle B is 3 times the measure of A, thus:
3x = measure of angle B
The measure of angle C is 1 degree less than 6 times of x, thus:
6x - 1 = measure of angle C
The equation to solve is:
x + 3x + 6x - 1 = 180
Simplifying:
10x - 1 = 180
Adding 1:
10x = 181
Dividing by 10:
x = 18.1 -->Measure of A
3x = 54.3° -->Measure of B
6x-1 = 107.6° -->Measure of C
