Question

In parallelogram ABCD below, BD is a diagonal, the measure of ADB is 35 Degrees, and the measure of BCD is 50 Degrees. What is the measure of DBA?

Answer 1

The measure of angle DBA in parallelogram ABCD is 110 degrees.

Step-by-step explanation:

To find the measure of angle DBA, we need to remember that opposite angles in a parallelogram are congruent. Since angle ADB is 35 degrees, angle BDA is also 35 degrees. Therefore, the measure of angle DBA is 180 degrees minus the sum of angles ADB and BDA:

DBA = 180 degrees - (ADB + BDA)

DBA = 180 degrees - (35 degrees + 35 degrees)

DBA = 180 degrees - 70 degrees = 110 degrees