Problema Solution
In triangle ABC , the measure of B is 43 degrees more than three times the measure of angle A. The measure of angle C is 62 degrees more than the measure of angle A. Find the measure of each.
Answer provided by our tutors
angle B = 43 + 3*angle A
angle C = 62 + angle A
the sum of all the angles in a triangle is 180:
angle A + angle B + angle C = 180
let's assume that
angle A = a
angle B = b
angle C = c
then we have the following system of equations:
b = 43 + 3a
c = 62 + a
a + b + c = 180
by solving we find:
a = 15 degrees
b = 88 degrees
c = 77 degrees
click here to see the step by step solution of the system of equations:
angle A is 15 degrees.
angle B is 88 degrees.
angle C is 77 degrees.