AB and CD intersect at E. If measure of angleAEC=5x-20 and measure of angleBED=x+52, find measure of angleCEB?
I keep getting 116 but it's supposed to be 110 according to my book, can someone please give step by step instructions?
- flavyLv 410 years agoFavorite Answer
angle AEC=angle BED from theorem in Geometry
therefore, angle AEC=BED=5(18)-20= 18+52= 70
THE SUM OF ALL THE ANGLE =360
360= angles, ( AEC+BED+CEB+AED)
CEB=AED & AEC=BED
360= 2(70) +2(CEB)
CEB=[ 360-2(70)]/2 = 110
- Anonymous10 years ago
measure of angle CEB=180-5*18-20=110