Question

The measure of one angle of a parallelogram is 80o. What are the measures of the remaining angles?​

Answer 1

HELLO MATE..

HERE'S YOUR ANSWER:

Q. The measure of one angle of a Parallelogram is 80°. Find the remaining angles.

Ans: According to the Properties of Parallelogram, Opposite side of Parallelogram are equal. so If one angle is 80° so the angle opposite to it is also 80°.

Now, As we know sum of all angles of a Quadrilateral is 360° so,

Let the remaining two angles be x as they are equal so, The equation stands:

=> (80+80+x+x)°=360°

=> 160°+2x=360°

=> 2x=360°-160°

=> 2x= 200°

=> x= 200/2= 100°

:. x=100°

So All the Measure of Angles of Parallelogram are: 80°,80°,100°,100°.

HOPE THIS HELPS YOU..

HAVE A NICE DAY AHEAD :-)