Question

The ratio of two adjacent angles of a parallelogram is 11:25. find the measure of the angles of the parallelogram. ​

Answer 1

Answer:55°,125°

Step-by-step explanation:

Given the two adjacent angles of a parallelogram are in the ratio 11:25

Then 11x+25x=180°{ sum of adjacent angles of a parallelogram}

36x=180°

Therefore x=180/36=5°

Hence one angle is 11x=11×5=55°

Other one is 25x=25×5=125°

Answer 2

Step-by-step explanation:

ANSWER

Let the two angles are x and 5x.

As we know that the adjacent angles in a parallelogram are supplementary.

∴x+5x=180

⇒x = 180÷5

=30°

Therefore, the two adjacent angles of a parallelogram are 30° and 30°×5=150°.

As we know that opposite angles in a parallelogram are equal.

Hence the angles of paralellogram are 30°,150°,30° and 150° respectively.