Answer:
<AED = 65
Step-by-step explanation:
1. Find the value of "x"
Remember, verticle angles are congruent. A verticle angle is formed when two lines intersect, the verticle angles are the angles that are opposite from eachother.
This means that;
<AEB = <CED
Substitue int he values;
5x - 10 = 3x + 40
Inverse operations;
5x - 10 = 3x + 40
-3x -3x
2x - 10 = 40
+10 + 10
2x = 50
/2 /2
x = 25
2. Find the measure of <AEB
Subsitute in the value for "x" that was found;
<AEB = 5x - 10
5 (25) - 10
125 - 10
115
3. Find the measure of <AED
Use a linear pair, a linear pair is two angles whose sum is 180 degrees. If one can put two angles together, and they form a straight line, then it is a linear pair.
<AEB and <AED are make a linear pair because together they form line BD.
This means that;
<AEB + <AED = 180
Substitute in the values;
115 + <AED = 180
<AED = 65
