what are the sizes of the angles?

Question

In triangle ABC the size of angle B is 3 times the size of angle A and the size of angle C is 14 degrees less than 6 times the size of angle A. Find the size of the angles

Answer 1

If we refer to angle A as "x", then according to the information given, angle B would be "3x" and angle C would be "6x - 14".

 

The sum of the three angles on the inside of a triangle need to add up to 180 degrees. Therefore:

 

(x) + (3x) + (6x - 14) = 180

10x - 14 = 180

10x = 194

x = 19.4

 

Angle A: 19.4 degrees

Angle B: 58.2 degrees

Angle C: 102.4 degrees