i need help on this question

Question

The angles of a triangle add up to 180 degrees.The second angle is 8 degrees larger than the smallest angle. The third angle is 2 times as big as the smallest angle. Find the measure of the smallest angle (in degrees)

Answer 1

Let x be the measure of the smallest angle. Then, the measure of the second angle is x+8, and the measure of the third angle is 2x. Since all three angles must add up to 180, we have x + (x+8) + 2x = 180. Combining like terms gives us 4x + 8 = 180. Subtracting 8 from both sides, we have 4x = 172. Finally, dividing both sides by 4 yields x = 43, so the measure of the smallest angle is 43 degrees.