Determine the value of x in the diagram below

x = 15

Step-by-step explanation:

The 2 angles are corresponding angles and they are always equal to each other.

5x + 55 = 2x + 100

Subtract 2x from each other;

3x + 55 = 100

Subtract 55 from both sides;

3x = 45

Divide both sides by 3;

x = 15

Check:

5x + 55

Substitute x;

5(15) + 55 = 75 + 55 = 130

2x + 100

Substitute x;

2(15) + 100 = 30 + 100 = 130