Question

Find the sum (in degrees) of any two adjacent angles in the given figure.

• A. 180

Answer 1

The correct option is A 180

From the above figure, we observe:

The pair of adjacent angles are:
(∠1, ∠2): On line segment AB
(∠1, ∠4): On line segment CD
(∠3, ∠4): On line segment AB
(∠2, ∠3): On line segment CD

So, the pair of angles that lie on a straight line segment and at the same vertex are supplementary to each other.

Therefore, the sum of any two adjacent angles in the figure is equal to 180°.