Problema Solution
The sum of the angles in any triangle is 180o. In triangle ABC, angle B is 5o less than twice angle A, and angle C is 10o less than angle B. What is the measure of angle B?
Answer provided by our tutors
lets put
angle A = a
angle B = b
angle C = c
angle A + angle B + angle C = 180
a + b + c = 180
angle B is 5o less than twice angle A
angle B = 2*angle A - 5
b = 2a - 5
angle C is 10o less than angle B
angle C = angle B = 10
c = b - 10
by solving the system of equations
a + b + c = 180
b = 2a - 5
c = b - 10
we find
a = 40
b = 75
c = 65
click here to see the step by step solution of the system of equations
angle A is 40, angle B is 75 and angle C is 65 degrees.