15 Angled

Help with this geometry problem?

Refer to the figure below to answer the following questions: (a) What is the value of “x”? (b) How many degrees does angle 4 measure?

The figure:http://tinypic.com/view.php?pic=6fpmco&s=7

Because the two lines are parallel, then we know that the combined values of the angles on any side of the line will be 180 degrees. This means that angles opposite of each other are identical and angles in corresponding areas will be identical

9x + 41 = angle 2
9x + 41 = angle 5
13x - 15 = angle 2
13x - 15 = angle 5

therefore

9x + 41 = 13x - 15
41 + 15 = 13x - 9x
56 = 4x
14 = x

Angle 4 + (13x - 15) = 180
Angle 4 + (13 * 14 - 15) = 180
Angle 4 + (182 - 15) = 180
Angle 4 = 180 - 182 + 15
Angle 4 = 13

Find 15 Angled On eBay Below:

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