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Elena-2011 [213]
3 years ago
11

Angle ABD=(3x+12), angle BDE=(7x-32) find the measures of both angles

Mathematics
1 answer:
horsena [70]3 years ago
7 0

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.

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