Parallelogram is quadrilateral, so sum of internal angles is 360 ( (n-2)180 )
parallelogram opposite angles are equal, angle opposite to 70 also 70...
other two equal angles are (360-140)/2, then they are
110 each...

angle measures are 70, 70, 110, 110

thanks :)

Parallelogram

A parallelogram is a four-sided polygon in which opposite sides are parallel and equal in length. The opposite angles of a parallelogram are also equal. In order to find the measures of the remaining angles of the parallelogram, we need to understand the properties of a parallelogram.

Opposite Angles

In a parallelogram, opposite angles are congruent, meaning they have the same measure. Let's denote the given angle as angle A, which measures 70 degrees. The opposite angle to angle A will also measure 70 degrees.

Sum of Angles in a Parallelogram

The sum of the angles in any quadrilateral is 360 degrees. Since a parallelogram is a special type of quadrilateral, the sum of its angles is also 360 degrees. Therefore, we can find the measure of the remaining angles by subtracting the measures of the known angles from 360 degrees.

Let's denote the remaining two angles as angle B and angle C.

Calculating Angle B

Since angle A measures 70 degrees, angle B is the opposite angle and will also measure 70 degrees. Subtracting the measures of angles A and B from 360 degrees, we can calculate the measure of angle C.

360 degrees - 70 degrees - 70 degrees = 220 degrees

Calculating Angle C

Angle C is the remaining angle of the parallelogram. As calculated above, angle C measures 220 degrees.

Summary

In a parallelogram, the opposite angles are congruent. Therefore, if one angle measures 70 degrees, the opposite angle will also measure 70 degrees. The sum of the angles in a parallelogram is always 360 degrees. By subtracting the measures of the known angles from 360 degrees, we can find the measures of the remaining angles. In this case, the remaining angles are angle B and angle C. Angle B and the opposite angle to angle B both measure 70 degrees, while angle C measures 220 degrees.