ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 24º and the measure of angle ADC is 127°, what is the measure of angle DAC? A. 29°

B. 48°

C. 79°

D. 103°

29 degrees.

Step-by-step explanation:

When a parallelogram has a diagonal, it is basically separated into two triangles with the same side lengths and angles. If you look at it this way, there are two triangles in the diagram: one yellow and one white (sorry for my uneven coloring xd).

The white triangle can be described as triangle ADC, while the yellow one is triangle CBA. That means that the measures of angle ADC and angle CBA are the same, and the measures of angles CAB and ACD are the same. Since all the angles of the triangle add up to be 180 degrees, you have the following equation:

24 + 127 + x = 180

x + 151 = 180

x = 180 - 151

x = 29

So, the measure of angle DAC is 29 degrees.

Hope this helps!

a ruler? idk

step-by-step explanation: