Question

two opposite angles of a parallelogram are (5x-21) and (x+75). find all the angles of parallelogram​

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:

99°, 99°, 81° and 81° .

Step-by-step explanation:

We know that in a parallelogram the opposite sides are parallel and the opposite angles are equal.

So,

Here we have been given two opposite angles,

(5x - 21) and (x + 75).

So,

5x - 21 = x + 75

4x = 96

x = 24°

So,

One of the angle is,

(5(24) - 21) = 99°

Another angle, opposite to this, will also be = 99°

Now, as the opposite sides are parallel.

So, also,

Sum of adjacent angles is 180°.

Therefore, the other two angles will be,

(180 - 99) = 81° and  81°.

Therefore, all the angles of the parallelogram are,

99°, 99°, 81° and 81° .