Question

If the two adjacent angles of a parallelogram are x and 2 x upon 3 what is the value of x

Answer 1

GIVEN :-

two adajacent angles of a parallelogram are x and 2x/3

we know that,

sum of two adjacent angles of a parallelogram = 180°

therefore x + 2x/3 = 180°

taking LCM of 1 and 3 = 1 × 3, we get

➡ (x × 3)/(1 × 3) + 2x/3 = 180°

➡ 3x/3 + 2x/3 = 180°

➡ 3x + 2x = 180 × 3

➡ 5x = 540

➡ x = 540/5

➡ x = 108°

hence, the angles are :-

• x = 108°

• 2x/3 = (2 × 108)/3 = 216/3 = 72°

VERIFICATION :-

= 108° + 72°

= 180°

hence verified!

Answer 2

Answer:

Two adjacent angles of a parallelogram are x and 2x/3

Sum of adjacent angles of parallelogram is 180°

By taking LCM

» x + 2x/3 = 180°

» x/1 + 2x/3 = 180°

» 3x/3 + 2x/3 = 180°

_________________________

» 3x/3 + 2x/3 = 180°

» 3x + 2x = 180 * 3

» 3x + 2x = 540

» 5x = 540

» x = 540/5

» x = 108°

Hence , angles are

x = 108°

2x/3 = 2 * 108/3 = 216/3 = 72°

__________________________

For Verification

We can add both the angles

108° + 72° = 180°

180° = 180°

Hence, verified