Question

Two adjacent angles of a parallelogram are in the ratio 2 : 5. Find the measure of each of its angles.

Answer 1

Answer:

The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2.

Sum of adjacent angles is 180\degree.

\therefore                     3\times x+2\times x = 180\degree

                                         5\times x = 180\degree

                                                  x = 36\degree

Hence, angles are 2\times 36\degree=72\degree and 3\times 36\degree=108\degree.

Let  there be a parallelogram ABCD then,      \angle A=\angle C=108\degree  and \angle B=\angle D=72\degree. (Opposite angles are equal)

Answer 2

Answer:

Step-by-step explanation:

Let the adjacent angles of a parallelogram be 2x and 5x.

Sum of adjacent angles in a quadrilateral is 180˚.

=> 2x + 5x = 180˚

=> 7x = 180˚

=> x = 180/7

=> x = 25.71˚

Hence,

=> 2x = 2 x 25.71 = 51.42˚

=> 5x = 5 x 25.71 = 128.55˚