Question

Find the value of x in the triangle shown.

Answer 1

31

Explanation:

(x-2)+(x-3)+(123)=180 degrees

x+x-2-3+123=180

2x-5+123=180

2x+118=180

2x=180-118

2x=62

x=62/2

x=31 degrees

Answer 2

x = 31

Explanation:

We need to solve for the interior angle measures to find x.

We know that the sum of a triangle's interior angle measures = 180, so we can use that to write an algebraic equation.

`(x-2)+(x-3)+123=180`

Combine like terms

`2x+118=180`

Subtract 118 on both sides

`2x=62`

Divide by 2

`x=31`

The value of x is 31. To solve for the two other angle measures, plug in 31 as x.

`31-2=29`

`31-3=28`