Question 78587
Let the smaller angle be represented by x. The bigger angle is 5 times the smaller,
so the bigger angle is 5*x.
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When you add the two angles together, the sum is 180 degrees.
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In equation form this is:
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x + 5x = 180
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Adding the two terms on the left side results in:
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6x = 180
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To solve for x, divide both sides by 6 to get:
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x = 180/6 = 30
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Since x is the smaller of the two angles, we know that the smaller angle is 30 degrees.
And the larger angle is 5 times as big so it is 5*30 = 150 degrees.
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As a check ... does 30 + 150 = 180 degrees?  Yes it does and so our answer is correct.
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Hope this helps you to understand the problem a little better.