Question

an angle of the parallelogram is 40° more than its adjacent angle the angle is​

Answer 1

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We know that Sum of adjacent angles = 180°

Let one angle = X

Let another angle = X + 40

so, X + X + 40 = 180°

2x + 40 = 180°

2x = 180° - 40

2x = 140

X = 140/2

X = 70°

One angle is 70°

Another angle = 70° + 40°

= 110°

Hence , An angle of parallelogram is 110°

Answer 2

Answer:

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Given :-

An angle of the parallelogram is 40° more than its adjacent angle

To Find :-

The required angle of a parallelogram

Concept used :-

Sum of adjacent angles = 180°

Solution :-

Let one angle = X

So, another angle be = X + 40

We know that Sum of adjacent angles = 180°

so, X + X + 40 = 180°

️ ➭ 2X + 40 = 180°

️ ➭ 2X = 180° - 40

️ ➭ 2X = 140°

️ ➭ X = 140°/2

️ ➭ X = 70°

️ ➭ One angle is 70°

️ ➭ Another angle = 70° + 40° = 110°

Hence , An angle of parallelogram is 110°

$\huge \fcolorbox{black}{cyan}{♛Hope it helps U♛}$

■ Additional Information

Properties of Parallelogram

If a quadrilateral has a pair of parallel opposite sides, then it’s a special polygon called Parallelogram. The properties of a parallelogram are as follows:

• The opposite sides are parallel and congruent

• The opposite angles are congruent

• The consecutive angles are supplementary

• If anyone of the angles is a right angle, then all the other angles will be the right angle

• The two diagonals bisect each other

• Each diagonal bisects the parallelogram into two congruent triangles

• Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law