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3 years ago

Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?

Mathematics

1 answer:

mestny [16]3 years ago

5 0

Answer:

Step-by-step explanation:

If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC

Given

<ABC = 10x - 7,

<ABD = 6x + 5

<DBC = 36

Substituting the given parameters into the formula above;

ABD+<DBC = <ABC

6x + 5+ 36 = 10x-7

6x+41 = 10x-7

collect like terms

6x-10x = -7-41

-4x = -48

divide both sides by -4

-4x/-4 = -48/-4

x = 12

To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5

<ABD = 6(12)+5

<ABD = 72+5

<ABD =77

Hence the value of <ABD is 77

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<u>Options</u>

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