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Two parallel lines are cut by a transversal. One of the two interior angles on the same side of the transversal contains 15[degrees] more than the other. Find the degree measure of the smaller angle....thank you so much!

2007-08-01 11:00:58 · 3 answers · asked by blahhhhhh 2 in Science & Mathematics Mathematics

3 answers

The interior angles on the same side are supplementary. Let's call them x (smaller angle) and x+15 (larger one), and we know their sum is 180:

x + (x + 15) = 180
2x + 15 = 180
2x = 165
x = 82.5

The larger one is 82.5+15 = 97.5.

2007-08-01 11:09:24 · answer #1 · answered by McFate 7 · 0 0

the 2 angles add up to 180 degrees
a + (a + 15) = 180
2a + 15 = 180
2a = 165
a = 82.5 degrees

2007-08-01 11:13:59 · answer #2 · answered by James L 7 · 0 0

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2016-10-13 09:59:56 · answer #3 · answered by ? 4 · 0 0

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