Question

Find the measure of angle ABC. A. 124 B. 97 C. 56 D. 51

Answer 1

Answer: Last Option

Step-by-step 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

$\frac{3}{3}x=\frac{168}{3}$

$x=\frac{168}{3}$

$x=56$

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

Answer 2

The measure of angle ABC is 56 .