А Transversal intersects two parallel lines Such that the ratio between the interior. angles of its side is 4:8, then find an the measure of greater angle.
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Let the angles be 3x and 7x.
We know that sum of two interior angles on the same side of transversal is 180∘
3x+7x=180∘
⇒10x=180∘
⇒x=18∘
Therefore, the greater angle is 7x=7×18=126∘
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