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Lines AB and CD intersect at E.

1. What is the measure of angle AED?
2. What is the measure of angle DEB?

(Just type the number of degrees in your answer.)

Lines AB and CD intersect at E 1 What is the measure of angle AED 2 What is the measure of angle DEB Just type the number of degrees in your answer class=

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jnicoll14

Answer:

1. 130

2. 50

Step-by-step explanation:

AEB = 180 because it's supplementary and AEC is vertical to DEB making them congruent. 180-50=130

The measure of angle AED = 130 degrees and the measure of angle DEB = 50 degrees

We have lines AB and CD intersect at E.

We have to find out -

  • measure of angle AED?
  • measure of angle DEB?

Can two straight lines intersect at more than on point ?

No, straight lines can never intersect at more than one point.

According to the question -

AB and DC intersect each other.

Now -

∠DEB = ∠AEC  (Vertically opposite angles are equal)

Let ∠AED = x

Then -

∠AED = ∠CEB = x  (Vertically opposite angles are equal)

Now -

∠AED + ∠DEB + ∠BEC + ∠AEC = 360

x + 50 + x + 50 = 360

2x + 100 = 360

2x = 260

x = 130

Hence -  the measure of angle AED = 130 degrees and the measure of angle DEB = 50 degrees.

To solve more questions on intersecting lines, visit the link below -

https://brainly.com/question/14187770

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