fi8cjtvmp7 fi8cjtvmp7
  • 22-09-2020
  • Mathematics
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BD bisects ∠ABC so that m∠DBC = x + 2 and m∠ABD = 2x − 5. What is x?
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meredith48034
meredith48034 meredith48034
  • 22-09-2020

Answer:

Step-by-step explanation:

x + 2 = 2x - 5

-x + 2 = -5

-x = -7

x = 7

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topeadeniran2 topeadeniran2
  • 01-10-2021

The value of x is 7

m∠DBC = x + 2

m∠ABD = 2x − 5

Since the angles bisect each other, we've to equate them together. This will be:

x + 2 = 2x - 5

Collect like terms

2x - x = 2 + 5

x = 7

Therefore, it can be inferred that the value of x is 7.

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