# How do you prove that 2 angles are equal in a parallelogram?

##### 1 Answer

Mar 1, 2018

See below

#### Explanation:

In a parallelogram , the opposite angles are equal.

So as you can see parallelogram has opposite sides parallel. So adjacent angles must sum up to 180°(because if the angle is more or less the lines would converge on either side)

Let ABCD be ||gm (||gm means parallelogram, it is a short notation)

Using elimination, substitution or whatever

Hence proved