In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD.

96.16 square in

Step-by-step explanation:

Given information: In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º.

Opposite angles of a parallelogram are congruent.

According to the angle sum property, the sum of interior angles of a triangle is 180º.

Law of Sine:

Using Law of Sine we get

It means the base of parallelogram is 11.14 in.

Draw an altitude on AB from D.

In a right angle

In triangle ADE,

The height of the parallelogram is 8.632.

The area of parallelogram is

Therefore, the area of parallelogram is 96.16 square in.

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.