Question

In triangle ABC, the measure of angle B is three times that of angle A. The measure of angle C is 20 degrees more than that of angle A. How do you find the angle measures?

Answer 1

`angleA=32^@`
`angle B=96^@`
`angleC=52^@`

Explanation:

In a triangle, the three interior angles always add up to 180°:

Let `angleA=x`
`=> angleB=3x`
`=> angleC=x+20`

`angleA + angleB + angleC = 180^@`
`=> x+3x+x+20=180`
`=> 5x+20=180`
`=> 5x=160`
`x=32`

Therefore, `angleA=x=32^@`
`angle B=3x=3*32=96^@`
`angleC=x+20=32+20=52^@`