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3 years ago

Please help me. (20 points)

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Hello from MrBillDoesMath!

Answer:

Discussion:

A plane triangle has 180 degrees. Using this in the diagram gives

x + 81 + angle BAC = 180 (***)

(The diagram is a bit fuzzy but I think the above numbers are accurate)

The diagram also shows that (156 + angle BAC )= 180 as a straight line has 180 degrees. So

angle BAC = 180 - 156 = 24

Substituting this in (***) above gives

x + 81 + 24 = 180 =>

x + 105 = 180 => (as 81 + 24 = 105)

x = 180 107 = 75

Check: Does

x + 81 + angle BAC = 180 ?

75 + 81 + 24 = 180. Yes

Thank you,

MrB

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Step-by-step explanation:

We can answer this question as follows.

First of all, we call:

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The two conditions that we have can be translated into equations as follows:

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