Question

What is m∠AED? Enter your answer in the box. °

Answer 1

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