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The ratio of two interior angles of a parallelogram is \(4: 5\). What is the degree measure of one of the two obtuse angles of the parallelogram?
in Mathematics by Diamond (55.6k points) | 264 views

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If the ratio of the two angles is \(4: 5\), then the angles are \(4 x\) and \(5 x\). Since the angles of a parallelogram sum to \(360^{\circ}\), we have \(4 x+5 x+4 x+5 x=360\). Therefore, \(18 x=360\), so \(x=20\). One of the obtuse angles is \(5 x\), which is \(100^{\circ}\).


Final Answer: The final answer is \(100^{\circ}\).
by Diamond (55.6k points)

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