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
Answer:
x <-3
Step-by-step explanation:
15 <-5x
divide both sides by 5 but since the coefficient of x is negative after dividing the sign changes.
x <-3
Levi Ackerman I looked it up
The value of x is 60
<h3>How to determine the value of x?</h3>
The complete question is added as an image
From the image, we have:
ABD = 30
DBC = x
The sum of complementary angles is 90.
So, we have:
30 + x = 90
Subtract 30 from both sides
x = 60
Hence, the value of x is 60
Read more about complementary angles at:
brainly.com/question/16281260
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