Question

Given: DE || BC. Find the measure of AED in the triangle AED.​

Answer 1

58°

Explanation:

Since DE and BC are parallel, ADE will be equal to ABC.

So ADE is 84°.

And, the sum of the angles of a triangle is 180°. So AED will be equal to 180-(38 + 84),which is 58°

[Only if Angle A is 38°]

Answer 2

<AED = 60

Explanation:

Since triangle ADE is similar to triangle ABC

Angle ADE equals angle ADC

The angles of a triangle add to 180 degrees

<A + <ADE + <AED = 180

36 + 84+ <AED = 180

Combine like terms

120 + <AED = 180

Subtract 120 from each side

120-120 +<AED = 180-120

<AED = 60