Question

Two opposite angles of a
parallelogram are (3x-2)° and (50-x)°. Find
the measure of each angle of a
parallelogram.​

Answer 1

Answer:

Opposite angle of parallelogram = A & C = (3x-2)° & (50-x)°

Opposite angle of a parallelogram are equal.

So, A=C & B=D

So, on equating

3x-2 = 50-x

4x = 52

x = 13°

So, measure of opposite angles = A = C = 37°

Now, consequent angles are supplementary.

So,

A+B = 180°

B= 180-37 = 143° = D

So, A= 37°, B = 143°, C = 37° & D = 143°