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 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answer 1

the largest angle are 90 degree

Explanation:

let x is the smallest angle

the angles are

x+x+2x=180

4x=180

4x/4=180/4

x=45 degree

2x=90

Answer 2

Smallest angle = x
Largest angle = 3x
Third angle = 45 + x

x + 3x + 45 + x = 180
5x + 45 = 180
5x = 180 - 45
5x = 135
x = 135/5
x = 27

Largest angle = 3x = 3 x 27 = 81 degree