Question

1. abcd is a parallelogram. if m∠cda = 75, then what is m∠dab? 115 75 95 105

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent - angles are supplementary, i.e., the sum of adjacent angles is 180°.

Step2: Identify adjacent angles

In parallelogram \(ABCD\), \(\angle CDA\) and \(\angle DAB\) are adjacent angles.

Step3: Calculate \(\angle DAB\)

Let \(m\angle CDA = 75^{\circ}\). Since \(\angle CDA+\angle DAB = 180^{\circ}\), then \(m\angle DAB=180 - m\angle CDA\). Substituting the value of \(m\angle CDA\), we get \(m\angle DAB = 180 - 75=105^{\circ}\).

Answer:

105