Question

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answer 1

a = smallest angle
3a = largest angle
a + 30 = other angle

Angles in a triangle add up to 180 degrees.
a + 3a + a + 30 = 180 ---> Simplify the left side of the equation
5a + 30 = 180 ---> Subtract 30 from both sides
5a = 180 ---> Divide both sides by 5
a = 36

We want to find the largest angle, which is equal to 3a.
3a = 3 x 36
3 x 36 = 108

The largest angle is 108 degrees.