AB and CD meet at point E. m∠AEC = 18 + 5x. Find m∠BEC, m∠BED, and ∠AED in terms of x.

FreezingTNT Sep 9, 2018

#1**+1 **

AEC and BED are equal (opposite angles) BED = 18 + 5x

Angles AED and BEC are also equal opposite angles and added to the angle next to them (18+5x) equal 180

So AED = BEC AED +18+5x=180 AED = 162-5x = BEC

ElectricPavlov Sep 9, 2018

#2**+1 **

Angle BED is 18+5x

Angle DEA is 162-5x

Angle CEB is 162-5x

Angle CEB = Angle DEA

Angle BED = Angle CEA

hellospeedmind Sep 9, 2018