Answer:
72 = ABD
108 = BDE
Step-by-step explanation:
Are the angles supplementary? (Do they equal 180 degrees?)
If so, the equation would be:
(3x + 12) + (7x - 32) = 180
You would then solve for x:
1. Add Like Terms
10x - 20 = 180
2. Addition Prop. of Eq.
10x = 200
3. Division Prop. of Eq.
x = 20
With x, you would then find angle ABD and BDE
3(20) + 12 = ABD
60 + 12 = ABD
72 = ABD
7(20) - 32 = BDE
140 - 32 = BDE
108 = BDE
You'd then check your answer. Does 72 + 108 = 180?
Yes, it does.
