Finding three angles.

Question

Three adjacent angles form 140°. The largest one is twice the smaller,the middle angle is 24 more than the smallest

Answer 1

Let x = biggest y = middle z = smallest * measured in degree

form relationship from sentences given

1. REMEMBER 3 VARIABLES NEED 3 EQUATIONS TO HAVE A UNIQUE SOLUTION

1) x = 2z

2) y = 24+ z

3) x+y+z = 140

rewrite system

x + 0y -2z = 0

0x +y - z = 24

x + y + z = 140

solving this ...rref or elimination / sub you will find that

x = 58 deg

y = 53 deg

z = 29 deg