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lara31 [8.8K]
3 years ago
6

Lines AC and ED intersect at point B. If the m∠ABD = 5x - 5 and the m∠EBC = 3x + 15, ∠ABD and ∠EBC are what kind of angles?

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

If Lines AC and ED intersect at point B, then ∠ABD and ∠EBC are vertically opposite angles

The point where two lines meet is known as an angle.

If line Lines AC and ED intersect at point B, then ∠ABD and ∠EBC will be vertically opposite to each other (They will be equal).

To show that the are equal

Given the angles

m∠ABD = 5x - 5

m∠EBC = 3x + 15

m∠ABD = m∠EBC (vertical angles)

5x - 5 = 3x + 15

5x - 3x = 15 + 5

2x = 20

x = 10

Substitute x = 10 into m∠ABD and m∠EBC

m∠ABD = 5x - 5

m∠ABD = 5(10)-5

m∠ABD = 50 - 5

m∠ABD = 45

Get m∠EBC

m∠EBC = 3x+15

m∠EBC = 3(10)+15

m∠EBC  = 30+15

m∠EBC  = 45 degrees

We can see that both angles are equal. Hence we can also conclude that they are vertically opposite angles

Learn more here: brainly.com/question/23466343

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