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Lines AB and CD intersect at E.Lines A B and C D intersect at point E. Angle A E C is 50 degrees.Type the answers to each question in the boxes below.a. What is the measure of angle AED?degreesExplain how you know.Type your response in the space below.b. What is the measure of angle DEB?degreesExplain how you know.Type your response in the space below.

Answer :

ABIDEMIOKINGO

The measure of angle AED and angle DEB are 130 and 50degrees respectively.

The point that bisects a line divides the line into two equal parts.

If the line AB and CD intersects at E, then;

  • AEC and AED supplementary
  • <AEC + <AED = 180 degrees

Given that <AEC = 50 degrees

<AED = 180 - <AEC

<AED = 180 - 50

<AED = 130degrees

Similarly, <AED and <DEB are supplementary

<AED + <DEB = 180

<DEB = 180  - <AED

<DEB = 180 - 130

<DEB = 50 = <AEC (vertically opposite)

The measure of angle AED and angle DEB are 130 and 50degrees respectively.

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