Question

one angle of a triangle measures 52 more than the smallest, while a third angle is twice the smallest. find the measure of each angle

Answer 1

Remember that a triangle has 180 degrees. Therefore, you would set the smallest angle = x and the other angle = x + 52 and the third angle = 2x. 

You would add each of these angles, x + (x + 52) + 2x, and set it equal to 180 degrees. You would solve for x to find each of the three angles. 

x + (x + 52) + 2x = 180
4x + 52 = 180
4x = 128
x = 32

The smallest angle = 32 degrees, the other angle = (32 + 52) = 84 degrees, the third angle = (32 * 2) = 64 degrees. 

To check, add 32 + 84 + 64, and you get 180 degrees