ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 24° and the measure of angle ADC is 127°, what is the measure of angle DAC?
Parallelogram ABCD with diagonal AC; the measure of angle ADC is 127 degrees, and the measure of angle CAB is 24 degrees.
29°
48°
79°
103°
To find the measure of angle DAC, we can use the fact that opposite angles in a parallelogram are equal.
Therefore, angle DAC = angle CAD.
Since angle CAB is 24 degrees, that means angle CAD is also 24 degrees.
Now, angle DAC + angle CAD = angle DAC + angle DAC = 180 degrees (since they form a straight line).
Therefore, 2 * angle DAC = 180 degrees
So, angle DAC = 180 degrees / 2 = 90 degrees
Therefore, the measure of angle DAC is 90 degrees.