Question

Ratio of two adjacent angles of a paralleogram is 3:2 . Find the measures of all angles

Answer 1

Answer:

Ratio of two angles of a Parellogarm is 3/2.... given, let the given Parellogarm be ABCD

let the ratio of angle A with Angle B be 3:2

since we know that adjacent angles of a Parellogarm are supplementary

therefore, let the common multiple be x

3x+2x= 180

5x=180

x=180/5

x=36

therefore angle A =108°

and angle B=72

angle C=108

angle D=72

because opposite angles of a Parellogarm are congruent

Answer 2

Answer:

The ratio of the angles are 3:2.

So, let the angles be 3x and 2x.

We know that, the angles adjacent in the parallelogram are supplementary.

So, we can write the angles as, 2x + 3x = 180

Hence, 5x = 180

x = 180/5

x = 36°

So, finally the angles are,

3x = 3 × 36 = 108°

3x = 3 × 36 = 108°2x = 2 × 36 = 72°

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What is a parallelogram ?

• A parallelogram is a closed figure made up of parallel lines.

• They are made up of two pairs of parallel lines.

• The length of the opposite lines which are parallel to each other are equal.

• The opposite angles are equal.

• The consecutive angles or adjacent angles in a parallelogram are supplementary.

• The diagonals bisect each other.

• The diagonal divides the parallelogram into two congruent triangles.

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