Question

ABCD is a parallelogram. If mZCDA = 75, then what is mZDAB?

Answer 1

Therefore

m∠ DAB is 105°

Explanation:

Given:

ABCD is a parallelogram. The diagram is not drawn to scale.

m∠CDA = 75°,

To FInd

m∠DAB = ?

Solution:

ABCD is a parallelogram.

AB || CD .......{opposite sides of a parallelogram are parallel}

∴∠CDA+∠DAB = 180°{SUM of the interior angles between parallel are supplementary}

substituting the values we get

`75+m\angle DAB=180\\\\m\angle DAB =180-75=105\\\\m\angle DAB =105\°`

Therefore

m∠ DAB is 105°