Question

ABCD is a parallelogram.Find the measure of ABC

Answer 1

38+12 = 50 is the measure of angle ADC

The opposite to angle ADC is angle ABC
Opposite angles of a parallelogram are congruent, so angle ABC is also 50 degrees

Answer: 50 degrees

Answer 2

(C)50°.

Explanation:

It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.

Now,
`m{\angle}ADC={\angle}ADB+{\angle}BDC`

`m{\angle}ADC=38^(\circ)+12^(\circ)`

`m{\angle}ADC=50^(\circ)`

Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.

Hence, option C is correct.