Answer: 27 degrees, 99 degrees, and 54 degrees
Step-by-step explanation:
Let x = the smallest angle of the triangle
Let x + 72 = the second angle
Let 2x = the third angle
They have to add up to 180
Degrees, so:
x + (x +72) + 2x = 180; now add like terms:
4x + 72 = 180; now subtract 72 from both sides;
4x = 108; now divide both sides by 4 and you get x = 27.
So the smallest angle is 27, another angle is 27+72=99, and the last angle is 27x2=54. You can check, so they add to 180? 27 + 99 + 54 = 180