Question

In triangle abc, the measure of angle b is 27 more than three times the measure of angle
a. the measure of angle c is 48 more than the measure of angle
a. find the measure of each angle

Answer 1

Answer: angle a is 21. angle b is 90. angle c is 69.

First, I set up the equations. a=x, b=3x+27, c=x+48. Then, I added all the equations together, and set them equal to 180. (x)+(3x+27)+(x+48)=180. Next, I solved for x and got 21. Finally, I inserted the 21 in for x, and solved each equation. a=21, b=3(21)+27---->b=90, c=(21)+48---->69.