Problema Solution
Ray AB and ray CD intersect at point E. Their intersection forms angle AED and angle CEB, which have measures that can be expressed by these two quadratic equations: 2x^2 +3x+15 and 3x^2+x-20
Find all possible measures of angle BED.
Answer provided by our tutors
2x^2 + 3x + 15 = 3x^2 +x -20
x^2-2x-35 = 0
x=7 or x =-5
when x =7 angle AED and CEB are
3(7)^2 +7 -20 = 134
2(7)^2 +3* 7 +15 =134
sum of other 2 angles =92
angle BED =92/2 =46
when x= -5 angle AED and CEB are
50 degrees each
sum of other 2 angles =260
angle BED =260/2 =130
so the possible measures of angle BED = 46 and 130