Question

The adjacent angles of a parallelogram are (3x - 12) degree and (52 + 2x)degree.Find the angles of the parallelogram?

Answer 1

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Let see your answer !!!!!

We know that the sum of the angles of a parallelogram is equal to 360°.

Opposite angles of parallelogram are equal.

Solution

2(3x - 12 + 52 + 2x) = 360

=> 2(5x + 40) = 360

=> 5x + 40 = 360/2

=> 5x + 40 = 180

=> 5x = 180 - 40

=> 5x = 140

=> x = 140/5

=> x = 28

Hence , 1st angle = (3 × 28 - 12)°

= (84 - 12)°

= 72°

2nd angle = (52 + 2 × 28)°

= (52 + 56)°

= 108°

3rd angle = 72° [opposite angles of parallelogram are equal]

4th angle = 108° [opposite angles of parallelogram are equal].







Thanks :))))))

Answer 2

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As we know what adjacent angles are equal to 180°

According to the question :

➡ (2x - 12)° + (52 + 3x)° = 180°

➡ 2x - 12 + 52 + 3x = 180

➡ x + 40 = 180

➡ x = 180 - 40

➡ x = 140°

Therefore

The angles are :

➡(2x - 12)° = 72°

➡(52 - 3x)° = 108°