Question

two adjacent angles of a parallelogram are in the ratio of 1:5 find all the angles of the parallelogram ​

Answer 1

SOLUTION :  

 Let the two angles are x and 5x.

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

∴x+5x=180°

⇒x=  

6

180°

​  

=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.

Answer 2

Step-by-step explanation:

let the angles be x and 5x.

sum of adjacent angles is 180°

So, x+5x= 180°

6x= 180°

x= 30°

so angles are x= 30°

5x= 5× 30= 150°

we know that sum of opposite angles of a parallelogram is 180°

So angle A+ angle D= 180°

150°+ angle D= 180°

Angle D= 30°

and AngleB+ Angle C= 180°

30° + Angle C= 180°

Angle C= 150°

Angle A= 150°

Angle B= 30°

Angle C= 150°

Angle D= 30°

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