Question

Find the value of x in the triangle shown & Find the measure of the three angles in the triangle shown.

Answer 1

x = 31

The interior angle measures are 123, 29, and 28.

Explanation:

The sum of a triangle's interior angles is 180. We are given 3 angles, in which we need to solve for the missing interior angles. We can do this by writing an algebraic expression and making sure the sum of the angles is equal to 180.

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

Add like terms

`2x+118=180`

Subtract 118 on both sides

`2x=62`

Divide by 2

`x=31`

To solve for the measures of the other interior angles, we just have to plug 31 into the other problems

`31 - 2 = 29`

`31-3=28`

To check our work, we can add all of our angle measures together

`29+28+123=180`

So, our work is correct.

Answer 2

The sum of the three inside angles of a triangle need to equal 180 degrees.

X = 180 - 79 - 70

x = 31 degrees.