Question

. ABCD is a parallelogram. If ZA= (5x + 5)º and ZB = (4x - 5), find the value of x and the measure of all the angles of the parallelogram ABCD.​

Answer 1

Answer:

x= 20 degree, angle A= 105 degree= angle C, angle B= 75 degree= angle D

Step-by-step explanation:

angle A= 5x+5

angle B= 4x-5

So, angle A+ angle B= 180 degree (Since, the adjacent angles of a parallelogram are supplementary)

(5x+5) + (4x-5)= 180

5x + 4x= 180

9x= 180

x= 180/9= 20 degree

Now, angle A= 5*20+5 = 105 degree

         angle B= 4*20-5 = 75 degree

         angle C= angle A= 105 degree  (Since the opposite           angles of a parallelogram are equal)

          angle D= angle B= 75 degree ( opposite angles of a parallelogram are equal)