ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 21° and the measure of angle ADC is 125°, what is the measure of angle DAC?
Parallelogram ABCD with diagonal AC; the measure of angle ADC is 125 degrees, and the measure of angle CAB is 21 degrees.
73°
62°
42°
34°
To find the measure of angle DAC, we can use the fact that the diagonals of a parallelogram bisect each other. This means that angle DAC is equal to angle CAD.
Since angle CAB is 21 degrees and angle CAD is equal, we can find angle CAD by subtracting the given angles from the total angle measure of a triangle, which is 180 degrees.
Therefore, angle CAD = 180 - 21 - 125 = 34 degrees
So, the measure of angle DAC is 34 degrees.