Question

two opposite angles of a parallelogram Are (5x-21) and (x+75) find the measure of each of the angles of the parallelogram​

Answer 1

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:

Opposite angles of a parallelogram = ( 5x - 21)° and ( x + 75)°

We know that, the sum of opposite angles of a parallelogram is are equal .

( 5x - 21 )° = ( x + 75 )°

5x - x = 75 + 21

4x = 96

x = 96/4 = 24

❇️ x = 24 ❇️

Now, ( 5x - 21) ° = ( 5 × 24 ) - 21 = 120 - 21

❇ ( 5x - 21) °=> 99°❇

( x + 75 )° = 24 + 75 = 99 °

❇️ ( x + 75 )° = 99 ° ❇️

Sum of all the angles of a parallelogram = 360°

99° + 99° + 2y = 360°

198° + 2y = 360°

2y = 360° - 198°

y = 162/2

y = 81°

All angles of parallelogram = 81°, 81°, 99°,99°.