One angle of a triangle measures 72∘ more than the smallest, while a third angle is twice the smallest. Find the measure of each angle.

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