Question

Two opposite anglrs ofa parallelligram are (5x-21) and (x+75). Find the measure of each angle of the parallelligram
​

Answer 1

Answer:

Step-by-step explanation:

Opp.angles of parallelogram are equal

So

5x -21 = x+75

5x -x = 75 +21  

4x = 96

x= 24  

So 5x -21 = 5(24) -21 = 99

So Angles of parallelogram are  

99,99,(180-99), (180-99)

99,99,81,81

Answer 2

Answer:

101°,79°,101°,79°

Step-by-step explanation:

Opposite angles of parallalogram are equal

Therefore, (5x+21) = (x+75)

5x-x = 75-21

4x = 54

x = 54÷4

x = 16

5x+21 = 16×5+21

= 80+21

= 101

Let the other two angles of parallalogram = y

Sum of all angles of a parallalogram = 360°

101+101+y+y = 360°

202+2y = 360°

2y = 360°-202°

y = 158°÷2

y = 79°