Question

The angles of a triangle are (2x−1)∘,(3x−5) ∘, and x ∘. Find the value of x and the measure of each angle of the triangle.

Answer 1

2x - 1 + 3x - 5 + x = 180

6x - 6 = 180

x - 1 = 30

x = 31

2(31) - 1 = 62 - 1 = 61

3(31) - 5 = 93 - 5 = 88

The angles of this triangle are 31°, 61°, and 88°.