Question

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°

Answer 1

In a parallelogram opposite angles are equal, so ∠A = 180° − ∠D = 180° − 127° = 53°. Diagonal AC splits ∠A into ∠CAB and ∠DAC, so ∠DAC = 53° − 24° = 29°.

Answer: 29°.