Answered

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CarrascoCapThere are two questions on this slide. Please answer both to the best of your ability.6. What is the measure of angle AED? How do youknow?50°B✓7. What is the measure of angle DEB? How do youknow?

CarrascoCapThere Are Two Questions On This Slide Please Answer Both To The Best Of Your Ability6 What Is The Measure Of Angle AED How Do Youknow50B7 What Is The class=

Sagot :

The lines AB and CD intercept each other at point E. Along line CD you have angle AEC which is 50 degrees and angle AED which is unknown. Note that angles on a straight line sum uo to 180 degrees. Therefore

AEC + AED = 180

50 + AED = 180

Subtract 50 from both sides of the equation

AED = 130

Similarly along line AB, you have angle AED and angle DEB. The same rule applies, that is, angles along a straight line equals 180 degrees.

AED + DEB = 180

130 + DEB = 180

Subtract 130 from both sides of the equation

DEB = 50

**Note also that angle AEC and angle DEB are opposite angles. Opposite angles are equal. Therefore DEB = 50.**

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