Question

Two adjacent angles of a parallelogram are (3x + 16) and (3x - 4). find the value of x and hence the measure of each of its angles.

Answer 1

Answer:

We Know That Sum Of Adjacent Angles Of Parallelogram Is 180.

Step-by-step explanation:

Therefore,

(3x+16) + (3x-4) = 180

3x+3x+16-4 = 180

6x+12 = 180

6x =180-12

6x = 168

x = 28

So, (3x+16) = 100 And (3x-4) = 80

Hence, Measure Of All Angles Of The Parallelogram Will Be 100 degrees, 80 degrees, 100 degrees And 80 degrees Respectively, Because Opposite Angles Of Parallelogram Are Equal.