Question

In a parallelogram ABCD, if A = (2x + 15)ᵒ, B = (4x - 27)ᵒthen find the value of x and

the measure of C and D.​

Answer 1

Given:-

A = (2x + 15)ᵒ, B = (4x - 27)°

Theory:-

1. The sum of adjacent angle of parallelogram is 180°
2. Opposite angle in parallelogram are equal

Solution:-

From parallelogram property :-

A + B = 180°

= 2x + 15 + 4x - 27 = 180

= 6x - 12 = 180

= 6x = 180 + 12

= 6x = 192

= x = 182/6

= x = 91/3

Now, putting the values :-

A = 2x - 15

= 2(91/3) - 15

= 45.6°

B = 4x - 27

= 4(91/3) - 27

= 94.3°

C = A = 45.6°

D = B = 94.3°

Final answer:-

Hence, x = 91/3, A = 45.6° , B = 94.3° , C = 45.6° ,D = 94.3°