Question

What is the value of x

Answer 1

x = 17

Explanation:

8x + 1 = 3x + 18 + 3x + 17 Combine like terms

8x + 1 = 6x + 35 Subtract 6x from both sides

8x - 6x + 1 = 6x - 6x + 35

2x + 1 = 35 Subtract 1 from both sides

2x + 1 - 1 = 35 - 1

2x = 34 divide both sides by 2

`(2x)/(2)` =
`(34)/(2)`

x = 17

Alternate exterior angles is equal to the opposite internal angles and vertical angles are congruent.

Answer 2

x = 17

Explanation:

<STU is an exterior angle.

Angles RST and TRS are the remote interior angles to exterior angle STU.

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

m<STU = m<RST + m<TRS

8x + 1 = 3x + 17 + 3x + 18

8x + 1 = 6x + 35

2x = 34

x = 17