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

In The Parallelogram Below If Lt A 34 What Is The Measure Of Lt D class=

Sagot :

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,

[tex]\begin{gathered} \angle A+\angle D=180^{\circ} \\ 34^{\circ}+\angle D=180^{\circ} \\ \angle D=146^{\circ} \end{gathered}[/tex]

Hence, the measure of angle D is 146 degree.