Question

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180degrees°.

In a​ triangle, the measures of the three angles are​ x, x − 21​, and x - 12. What is the measure of each​ angle?

Answer 1

X=71°
X-21=50°
X-12=59°

Add all of the angle measurements to equal 180 so the equation would look like x+x-21+x-12=180. Add all like terms and you’ll then get 3x-33=180. Next add 33 on both sides to get x by itself and then you’ll get 3x= 213. Next divide 3 on both sides to isolate x and you’ll get x=71. Substitute all values of x for 71.