Question

Define, draw the diagram, write
the angle equation of
1. V.O.A
2. Linear pairs of angle
3. complementry' angle
4. supplementry angle​

Answer 1

Answer:

Here are some basic definitions and properties of lines and angles in geometry. These concepts are tested in many competitive entrance exams like GMAT, GRE, CAT.

Line segment: A line segment has two end points with a definite length.

line segment

Ray: A ray has one end point and infinitely extends in one direction.

ray

Straight line: A straight line has neither starting nor end point and is of infinite length.

line segment

Acute angle: The angle that is between 0° and 90° is an acute angle, ∠A in the figure below.

acute angle

Obtuse angle: The angle that is between 90° and 180° is an obtuse angle, ∠B as shown below.

obtuse angle

Right angle: The angle that is 90° is a Right angle, ∠C as shown below.

right angle

Straight angle: The angle that is 180° is a straight angle, ∠AOB in the figure below.

Supplementary angles:

supplementary angles

In the figure above, ∠AOC + ∠COB = ∠AOB = 180°

If the sum of two angles is 180° then the angles are called supplementary angles.

Two right angles always supplement each other.

The pair of adjacent angles whose sum is a straight angle is called a linear pair.

Complementary angles:

complementary angles

∠COA + ∠AOB = 90°

If the sum of two angles is 90° then the two angles are called complementary angles.