Math problem for school.

Question

1 angle in a triangle measures three times as large as the smallest angle. The measure of the third angle is 15 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answer 1

Let "x" be measure of the smallest angle in the triangle.

x → the measure of the smallest angle

(x + 15) → the measure of the 2nd angle in the triangle

3x → the measure of the largest angle in the triangle

Sum of angles' measures in a triangle is 180º.

Writing an equation:

x + (x +15) + 3x = 180

5x + 15 = 180

5x = 165

x = 33º

Calculating "x +3":

x + 15 = 33 + 15 = 48º

Calculating "3x":

3x = 3 • 33 = 99°

Checking:

33 + 48 + 99 = 180

180 = 180 ← works out!

Answer 2

A=3S

B=15+S

A+B+S =180

3S + 15+S= 180-

4S= 165

S 41.25 degrees

A= 123.75 degrees= largest angle