Question

If abcd is a parallelogram, what is the measure of angle abc?

Answer 1

if abcd is a parallelogram, the measure of the angle abc is 130°

Answer 2

The measure of angle ABC in the given figure of a parallelogram is equal to 68° which corresponds to option B.

According to the given figure, the measure of angle ABC will be equal to 9x + 5 (opposite interior angles) (Let us call this equation 1).
Angle ABC + Angle BCD = 180 (same side interior angles)

9x + 5 + 16x = 180

25x + 5 = 180

25x = 175

x = 175/25

x = 7

Now that the value of x is 7, we can easily substitute it in equation 1 and find the measure of angle ABC.

Angle ABC = 9x + 5

Angle ABC = 9(7) + 5

Angle ABC = 63 + 5

Angle ABC = 68°

Therefore, the measure of angle ABC is equal to 68° (option B).

The complete question is:

If ABCD (shown below) is a parallelogram, what is the measure of angle ABC?

A. 7°

B. 68°

C. 78°

D. 112°