Problema Solution
In triangle ABC, the angle C is six times as large as angle A. Theasure of angle B is 60 degrees greater than that of angle A. Find the measure of the angles.
Answer provided by our tutors
Let
a = the measure of angle A
a + 60 = the measure of angle B
6a = the measure of angle C (the angle C is six times as large as angle A)
Since the angle A, angle B and angle C are angles in a triangle we have:
a + (a + 60) + 6a = 180
........
........
a = 15 degrees
a + 60 = 15 + 60 = 75 degrees
6a = 6*15 = 90 degrees
The measure of the angles are: angle A is 15 degrees, angle B is 75 degrees and angle C is 90 degrees.