Question

ZA and ZB are supplementary to each other. ZA = xº and ZB = xº + 20°. What is the measure of ZA? ​

Answer 1

Answer:

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)

Step-by-step explanation:

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Answer 2

Answer:

ZA = 80º

Step-by-step explanation:

First of all

Supplementary - this means that the 2 angles sum up to 180º

So,

$ZA + ZB = 180\\x + x + 20 = 180\\2x + 20 = 180\\2x = 180 - 20\\2x = 160\\\\x = \frac{160}{2}$

Therefore, ZA = 80º