What is the measure of angle ABE?
Please provide an explanation to your answer, thank you.

50°

Step-by-step explanation:

According to the vertical angle theorem, two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

This would mean CBD is equal to ABE which means ABE would be 50°.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

i use my brain for prombles like this maybe you could try it

step-by-step explanation: