Question

In a parallelogram ABCD, if A = (3x – 8)° and
∆D = (2x + 13)°, find the value of x and the measure
of each angle of the parallelogram.
​

Answer 1

Answer:

x=37

Step-by-step explanation:

here A+D=180

and A=C,

B=D. because it's parallelogram

Answer 2

Answer:

3x-8+2x+13 = 180

3x+2x-8+13 = 180

5x+5 = 130

5x = 125

x = 25

A = 3x-8

= 3 x 25 - 8

= 75-8

therefore A = 67°

D = 2x + 13

= 2 x 25 + 13

= 50 + 13

= 63

therefore D = 63°

therefore the angles are 67°,63°,67°,63°.