Question

Find the measure of angle ABC.

A. 124

B. 97

C. 56

D. 51

Answer 1

the measure of angle ABC is 56 .

Answer 2

Answer: Last Option

Explanation:

By definition the sum of the internal angles of a triangle must always be equal to 180 °.

This means that:

`32 + (2x-15) + (x-5)=180`

Now we solve the equation for the variable x

`32 + 2x-15 + x-5=180`

`2x+x +32-15-5=180`

`3x +32-20=180`

`3x +12=180`

We subtract 12 in both barks of the equation

`3x +12-12=180-12`

`3x=168`

Divide by 3 on both sides of the equation

`(3)/(3)x=(168)/(3)`

`x=(168)/(3)`

`x=56`

Finally the measure of angle ABC is: (56-5)° = 51°