In the adjoining figure, point X is the midpoint of side BC, Seg XZ ∥ side AB, seg YZ ∥ seg AX, Prove that BC = 4YC.
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Let the measure of the fourth angle be x°.
Thus, we have:
130°+82°+40°+x°=360° [Angle addition property of quadrilateral]⇒252°+x°=360°⇒x°=360°-252°⇒x°=108°
Thus, the measure of the fourth angle of the quadrilateral is 108°.
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