Question

When two lines are perpendicular to each other, the angle is said to be \[\_\_\_\_\_\] angle.
A. Acute
B. Right
C. Obtuse
D. Equal

Answer 1

Hint: Here we will use the basic concept of intersection of two lines and the resulting angle formed between those lines. The point at which two lines intersect is known as Point of intersection.tWhen a line is perpendicular to the plane, then its a perpendicular to the all points in the plane or perpendicular to each line in the plane that it intersects.

Complete step-by-step solution:
Perpendicular lines: Perpendicular lines are the lines which make a right angle when they intersect on some plane. The product of the slopes of these lines is equal to \[ - 1\]. Relationship between lines is represented using perpendicularity symbol \[ \bot \]. For example, let \[{{\text{P}}_1}\] and \[{{\text{P}}_2}\] be two line which are perpendicular to each other i.e. \[{{\text{P}}_1} \bot {{\text{P}}_2}\] . We will get more better understanding of perpendicular lines with help of the graph given below, the graph given below is x-y,

Slope of two perpendicular lines:When two lines are perpendicular then they form a right angle at their point of intersection. Let the slope of line A is m and that of line B is n, provided lines A and B are perpendicular to each other. Then the product of slopes of these lines is equal to \[ - 1\] i.e. \[{\text{m}}.{\text{n}} = - 1\].
We have some geometrical figures which are formed with the help of perpendicular lines. Square is a very familiar mathematical figure, adjacent sides of a square form a right angle at its vertices therefore they are perpendicular to each other. Also, we are familiar with rectangles, its adjacent sides are also perpendicular to each other.

Hence, option B is the correct option.

Note: In geometry we used 6 types of angle: Acute angles, Obtuse angles, Right angles, Straight angles, Reflex angles and full rotation.
A right angle may be expressed as a 100grad, 8 points (of a 32 point compass rose) and 6hours (astronomical hour angle).
We can use 3-4-5 rules which are based on Pythagorean theorem to know if the angle is the true right angle or not.