Problema Solution
In triangle ABC, the measure of angle B is 2 degrees more than three times the measure of angle A. The measure of angle C is 8 degrees more than the measure of angle A
Answer provided by our tutors
Let
a = the measure of angle A
b = the measure of angle B
c = the measure of angle C
a + b + c = 180
The measure of angle B is 2 degrees more than three times the measure of angle A:
b = 2 + 3a
The measure of angle C is 8 degrees more than the measure of angle A:
c = 8 + a
We have the following system of equations:
a + b + c = 180
b = 2 + 3a
c = 8 + a
........
........
a = 34 degrees
b = 104 degrees
c = 42 degrees
The angles of the triangle are: the measure of angle A is 34 degrees, the measure of angle B is 104 degrees and the measure of angle C is 42 degrees.