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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°

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The measure of angle CAB in the parallelogram described is 34°.

Given :

∠CAB = 21°

∠ CAB = ∠ACD (Alternate interior angles)

∠ACD = 21°

∠DAC + ∠ADC + ∠ACD = 180° (Sum of interior angles of a triangle)

∠DAC + 125° + 21° = 180°

∠DAC = 180° - 146°

∠DAC = 34°

Therefore, the measure of angle ∠DAC is 34°

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