Question

Third time asking, please help.

In a triangle one angle is three times the smallest angle and the third angle is 45 more than twice the
smallest angle. Find the measure of all three angles. Hint: The angles of a triangle add up to 180°

Answer 1

The 3 angles are 22.5, 67.5 and 90 degrees.

Explanation:

Let the smallest angle be x degrees.

Then the other angles = 3x and 2x + 45.

x + 3x + 2x + 45 = 180

6x = 180 - 45

6x = 135

x = 135/6 = 22.5 degrees

3x = 67.5 degrees

2x+45 = 90 degrees.