In the figure below, lines r and s are parallel. What is the measure of angle three? Explain how you know.

Question

meilendurcer · Answer

attachment

anonymous · Answer

remember what I told you about supplementery and complementARY

anonymous · Answer

Angle 3 and the angle = 10x have the same measurements they are vertical angles
The angle = 10x and the angle = 4x + 42 are corresponding angles so they are equal
So set up your equation: 
10x = 4x +42
x=7
Now substitute x = 7 to angle = 10x 
so 10 times 7=70
So 70 degrees is your answer

anonymous · Answer

@meilendurcer get it?

anonymous · Answer

10x=4x+42
-4      -4

6x=42

anonymous · Answer

$$\frac{ 6x }{ 6} =\frac{ 42 }{ 6 }$$

anonymous · Answer

x=7

anonymous · Answer

because the two equations correspond... so does 6 and 3

anonymous · Answer

@meilendurcer  can i get a medal? :)

anonymous · Answer

so lets say you have ten x... a common mistake I make is to for get to plug in the x

10x... or 10(7)

anonymous · Answer

|dw:1375205218738:dw|

anonymous · Answer

|dw:1375205262900:dw| most of the time they are equal since they correspond