Question

in parallelogram efgh, m∠1 = 3x - 5, m∠2 = x + 10, and m∠3 = 2x + 15. what is m∠4?

Explanation:

Step1: Use the property of parallelogram

In parallelogram \(EFGH\), \(\angle1=\angle2\) (alternate - interior angles). So, \(3x - 5=x + 10\).

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Step2: Find \(\angle3\)

Substitute \(x = 7.5\) into \(m\angle3=2x + 15\).

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Step3: Use the property of parallelogram (alternate - interior angles)

In parallelogram \(EFGH\), \(\angle4=\angle3\) (alternate - interior angles).

Answer:

\(30^{\circ}\)