Question

The adjecent angles of a parallelogram are (5x-3)° and (5x-67)°. Find all the angles of the parallelogram

Answer 1

Solution :

Given, Adjacent angles of a parallelogram (5x - 3)° , ( 5x - 67)° .

We know that

Sum of Adjacent angles of a parallelogram are 180° or supplementary.

⇒ 5x - 3 + 5x - 67 = 180

⇒ 10x - 70 = 180

⇒ 10x = 250

⇒ x = 25°

Therefore,

Angles of a parallelogram are

5x - 3 = 5 ( 25 ) - 3 = 125 - 3 = 122

5x - 67 = 5 ( 25) - 67 = 58

So, 122 , 58 , 122 , 58 are the angles of the parallelogram.