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GEOMETRY-ANGLE

__ANGLE -__

**Introduction Of Angle -**

**Angles are geometric figures formed by two rays that share a common endpoint called a vertex. The two rays are called the sides of the angle. Angles are measured in degrees, with a full circle being 360 degrees. Angles can be classified according to their size or shape.**

**Some common types of angles include:**

**Acute angle: An angle that measures less than 90 degrees.****Right angle: An angle that measures exactly 90 degrees.****Obtuse angle: An angle that measures more than 90 degrees but less than 180 degrees.****Straight angle: An angle that measures exactly 180 degrees.****Reflex angle: An angle that measures more than 180 degrees but less than 360 degrees.****Complementary angles: Two angles whose measures add up to 90 degrees.****Supplementary angles: Two angles whose measures add up to 180 degrees.**

**Angles are used in many fields, including mathematics, engineering, and physics, and are an important concept in trigonometry, which deals with the relationships between angles and sides of triangles.**

__Angle -__

**-
Two rays starting from a common point form an angle.**

**-
The two rays are called the arms or sides of the angle.**

**-
The meeting point of the arms of the angle is called the vertex.**

**- An angle is denoted by the symbol ∠.**

**- An angle is named by three capital letters. The letter at the vertex always comes in between the other two letters. The given angle is named as ∠ AOB or ∠ BOA. Vertex O is at the middle of P and R.**

**The unit for measuring angles is degree. The symbol for degree is °.**

**The ere are some type of angles are given below with picture for your better understanding -**

**1. ACUTE ANGLE :-**

**An angle whose measure is less than 90° is called an acute
angle.**

**Examples : 30°, 45°, 84°**

**2. RIGHT ANGLE :-**

**An angle whose measure is 90° is called a right angle.**

**3. OBTUSE ANGLE :-**

**An angle which measures more than 90° but less than 180° is called an obtuse angle.**

**Examples : 120°, 135°, 175°.**

**4. STRAIGHT
ANGLE :-**

**An angle whose measure is 180° is called a straight angle.**

**5. REFLEX ANGLE :-**

**An
angle whose measure is greater than 180° but less than 360° is called a reflex
angle.**

**Examples : 210°, 195°, 340°**

**6. COMPLETE
ANGLE :- **

**An angle whose measure is 360° is called a complete angle.**