Question

Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6 7 8 9

Answer 1

6

Explanation:

Answer 2

The value of p is 6

Explanation:

we know that

In a parallelogram opposite angles are congruent

so

In the parallelogram ABCD

m∠A=m∠C ----> equation A

m∠B=m∠D ----> equation B

we have

m∠A=(4p+12)°

m∠C=36°

substitute the given values in equation A and solve for p

`(4p+12)\°=36\°`

`4p=36-12`

`4p=24`

`p=6`