Question

In triangle ABC, the size of angle B is 3 times the size of

angle A, and the size of angle C is 16° less than 6 times
the size of angle A.
Find the size of the angles.

Answer 1

Explanation:

Here,

angle B = 3 x angle A

angle C = 6 x angle A - 16

now, for a triangle,

angle A + angle B + angle C = 180

or, angle A + 3 x angle A + 6 x angle A - 16 = 180

or, 10 x angle A = 196

so, angle A = 19.6 degrees

angle B = 3 x 19.6 = 58.8 degrees

angle C = 6 x 19.6 - 16 = 101.6 degrees