Question

How many angles are shown in the figure? Name them.

Answer 1

Hint: An angle is the figure formed by two rays, called the sides of the angles. So here in this question, we will consider two rays which are given in the figure. These rays will make an angle and by naming these angles we will get our answer.

Complete step-by-step answer:

In the given figure there are three rays OP, OQ, and OR
If we consider two rays OP and OR, they both make an angle at point O, which called as $\angle POR$
Now, If we consider two rays OR and OQ, they both make an angle at point O, which called as $\angle ROQ$
Similarly, If we consider two rays OP and OQ, they both make an angle at point O, which called as $\angle POQ$
Hence, in the given figure there are three angles that are named as $\angle POR,\angle ROQ{\text{ and }}\angle POQ.$

Note: In order to solve problems related to naming the angles, the first alphabet is the name of the first ray, at the center is the name at which the angle is and last is the name of the second ray. To solve other problems related to angles and parallel lines remember the property of angles and parallel lines. Also remember terms like transversal lines, acute angle, right angle etc.