Problema Solution
In triangle ABC, the measure of angle B is 29 more than 3 times the measure of angle A. The measure of angle c is 61 more than the measure of angle A. Find the measure of each angle.
Answer provided by our tutors
Let the measure of angle A be x.
Since it is given that angle B is 29 more than 3 times the measure of angle A. The angle B will be 3x+29.
Also it is given that angle C is 61 more than measure of angle A. Hence angle C is x+61.
Since we know that in a triangle , sum of ( Angle A + Angle B + Angle C = 180 )
=> x + (3x+29) + (x+61) = 180
=> 5x+90 = 180
Subtracting 90 from both sides
=> 5x = 90
dividing both sides by 5
=> x = 18
Hence angle A = x = 18 degrees
Angle B = 3x+29 = 3*18+29 = 83 degrees
Angle C = x+61 = 18+61 = 79 degrees