Question

Find the value of x

Answer 1

X = 107°

Explanation:

There are 360° in a quadrilateral.

You know that two of the degrees are 90, as there are two parallel lines.

360 - 90 - 90 = 180°

The remaining two angles add up to 180°.

X + (X - 34) = 180°

X + X - 34 = 180°

2X - 34 = 180°

Rearrange to get X on its own.

2X = 180 + 34

2X = 214

X = 214 ÷ 2

X = 107°

Answer 2

x=107

Explanation:

Those are same-side interior angles, the x and the (x-34). The transversal is going through a set of parallel lines which means these angles are supplementary.

This means that

x+(x-34)=180

2x-34=180

Add 34 on both sides:

2x=214

Divide both sides by 2:

x=107