The measure of one angle of a parallelogram is 70°.

Question:

The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?

Solution:

Given that one angle of the parallelogram is $70^{\circ}$.

Since opposite angles have same value, if one is $70^{\circ}$, then the one directly opposite will also be $70^{\circ}$.

So, let one angle be $x^{\circ}$.

$\mathrm{x}^{\circ}+70^{\circ}=180^{\circ}$ (the sum of adjacent angles of a parallelogram is $180^{\circ}$ )

$\mathrm{x}^{\circ}=180^{\circ}-70^{\circ}$

$\mathrm{x}^{\circ}=110^{\circ}$

Thus, the remaining angles are $110^{\circ}, 110^{\circ}$ and $70^{\circ}$.

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now