Question

The angles of a triangle measure 3x, 4x, and 5x. Using the Triangle Sum Thereom, find the measure of the smallest angle in this triangle.

Answer 1

According to the Triangle Sum Theorem, the sum of the angles in a triangle is always 180 degrees.

So, we have the equation:

3x + 4x + 5x = 180

12x = 180

Dividing both sides by 12, we have:

x = 15

Now, we can find the measure of the smallest angle:

3x = 3(15) = 45

Therefore, the measure of the smallest angle in this triangle is 45 degrees.