Question

What is the value of x? Two lines are intersecting. The angle at the top is labeled x + 23 degrees. The angle formed at the bottom is labeled 2 x + 4 degrees.

Answer 1

x= 19 degrees

Explanation:

When two lines intersect the angles formed at the vertex opposite to each other are equal. This is one of the properties of the intersecting lines.

Intersecting lines have equal opposite angles so both angles given are equal as one is at the top and the other is at the bottom that is they are opposite to each other.

Putting in equation

x+23= 2x+ 4

Solving

-4+ 23= 2x-x

or

2x-x= 23-4

x= 19 degrees