Question

two adjacent angle of parallelogram are in the ratio 1 ratio 5 find all the angles of the parallelogram
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Answer 1

Answer :

Let the angles be x and 5x

As we know , in parallelogram sum of adjacent angles = 180° .

$\implies\sf{x + 5x = 180}$

$\implies\sf{6x = 180}$

$\implies\sf{x = 30}$

$\implies\sf{5x = 5 \times 30 = 150}$

Therefore, the angles are 30° and 150° and 30° and 150° .

☆Additional information☆

What is parallelogram?

The parallelogram has four sides and the opposite side of it are parallel. They do not intersect also.

☆ Some Properties of parallelogram☆

• Consecutive angles are supplementary (A + D = 180°).

• If one angle is right, then all angles are right.

• The diagonals of a parallelogram bisect each other.