Question

In a triangle ABC, angle C is 3 times as large as angle A. Angle B measures 5 degrees less than angle A. Find the measure of each angle. Talk me through it, please.

Answer 1

Lets call angle A 'x'.
Because angle C is "3 times as large" as A, it will be '3x'
angle B will be 'x-5' because it is "5 degrees less than A"
The sum of the angles must be 180, so we have:
x+(3x)+(x-5) = 180
Simplifying this gives:
5x-5=180
5x=185
x=37
so angle A is 37, B is 37-5 = 32, and C is 3(37) = 111

Answer 2

Thank you so much!!!! It has been many many years since I did this kind of stuff.