if a line is parallel to the base of an isoceles triangle to intersect it's equal sides,prove that it is an cyclic quadrilateral
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Step-by-step explanation:
when the parallel line intersects the the two sides of the triangle, the sides behave as a transversal. Therefore, the adjacent interior angles will be supplementary. Since the angles at the bottom are equal, the others angles will be equal to eachother. Therefore, the opposite angles will be supplementary to each other, hence satisfying the property of cyclic quadrilateral.
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