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

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VORTEX Viper HD 15 45x65 Angled Spotting Scope VPR 65A HD
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Vortex Viper 15 45x 65mm HD Angled Spotting Scope V500
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Barska AD10780 15 45x50 Spotter Angled  Rotatable Multi Coated Spotting Scope
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BARSKA 15 40x50 Colorado Spotting Scope
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Gosky 15 45X 60 Porro Prism Spotting Scope Waterproof Spotting scope for Bi
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Zeiss DiaScope 65 T FL Angled Spotting Scope With 15 45x Eyepiece
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