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Let the first angle be x the second angle be 4x and the third angle be 80+4x+x:

x+4x+80+4x+x = 180

Collect like terms:

10x = 180-80

10x = 100

x = 10

Therefore the measure of the second angle is 40 degrees.

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Q: The second angle in a triangle is four times as large as the first The measure of the third angle is 80 degrees more than sum of the other two angles. Find the measure of the second angle?
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Related questions

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