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The sum of three angles formed by the intersection of two lines is 220°. find the measures of all angles.

User Mark Szabo
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1 Answer

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Two intersecting lines create 4 angles adding up to 360 degrees, with opposite angles being equal. We find one angle by subtracting 220 degrees from 360 degrees. That angle is 140 degrees. This means that its opposite angle is also 140 degrees. We subtract the sum of the two angles from 360 => 360 – 280 = 80 degrees, therefore, each of the other two angles is 80/2 = 40 degrees. Therefore, the angles are 40 degrees, 40 degrees, 140 degrees, and 140 degrees.
User Curioustechizen
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