Question

Please help me. (20 points)

Answer 1

Hello from MrBillDoesMath!

Answer:

75

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