Given that 𝐴𝐵𝐶𝐷 is a
parallelogram and the measure of angle 𝐶 equals 68 degrees, find the measure of
We can begin by recalling that a
parallelogram is defined as a quadrilateral with both pairs of opposite sides
parallel. We can see that the parallel line
segments are already marked on the diagram. We are considering the angles in
this parallelogram. So let’s recall one of the angle
properties of a parallelogram that may be useful here.
We know that opposite angles in a
parallelogram are equal in measure. And the angle that we need to
determine, the measure of angle 𝐴, is opposite the angle 𝐶, whose measure we are
given. Since opposite angles are equal in
measure, then we can write that the measure of angle 𝐴 equals the measure of angle
𝐶. And as angle 𝐶 has a measure of 68
degrees, then so does angle 𝐴. We can give the answer that the
measure of angle 𝐴 equals 68 degrees.