Question

Consider parallelogram ABCD below.

Use the information given in the figure to find m of angle B, x, and m of angle BCA.​

Answer 1

see explanation

Explanation:

the opposite angles of a parallelogram are congruent , then

∠ B = ∠ D = 82°

the opposite sides of a parallelogram are parallel and congruent , then

AD = BC , that is

6x = 12 ( divide both sides by 6 )

x = 2

∠ BCA and ∠ DAC are alternate angles and are congruent , then

∠ BCA = ∠ DAC = 62°

Answer 2

Explanation:

1) Opposite angles in a parallelogram are congruent, so angle B measures 82 degrees.

2) Opposite sides of a parallelogram are congruent, so 12=6x. Hence, x=2.

3) Opposite sides of a parallelogram are congruent, so by the alternate interior angles theorem, the answer is 62 degrees.