Question

In the parallelogram below, if < A = 34 °, what is the measure of < D?

Answer 1

Given,

The measure of angle A is 34 degree.

Required

The measure of angle D.

It is given that, ABCD is a parallelogram.

According to the property of parallelogram , the opposite sides of the parallelogram are equal and parallel.

The sum of adjacent interior angle between two parallel line is 180 degree.

So,

`\begin{gathered} \angle A+\angle D=180^(\circ) \\ 34^(\circ)+\angle D=180^(\circ) \\ \angle D=146^(\circ) \end{gathered}`

Hence, the measure of angle D is 146 degree.