Question

Give two examples each of right, acute, and obtuse angles from your environment.

Answer 1

Hint: To solve this question we will, first of all, define all the three angles and then compare them with the environment items to get all the three angles. We can try doing for the letters of the English alphabet, the walls of the room, etc.

Complete step by step answer:
Let us first of all define a right angle, obtuse angle, and acute angle.
Right Angle: A right angle is an angle of exactly \[{{90}^{\circ }}\] (90 degrees) corresponding to a quarter term.

Acute Angle: The acute angle is the small angle which is less than \[{{90}^{\circ }}.\] Example: \[{{20}^{\circ }},{{15}^{\circ }},{{30}^{\circ }},\] etc.

Obtuse Angle: An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees. Example: \[{{95}^{\circ }},{{120}^{\circ }},{{130}^{\circ }},etc.\]

Two examples of the right angle in our environment are
1. The angle formed by the corner of the two adjacent walls of a room.

2. The angle formed by the corner of the two adjacent edges of a book.

Two examples of an acute angle in our environment.
1. The angle formed between the two adjacent fingers of our hand
2. The angle between the two adjacent sides of the letter Z of the English alphabet.

Two examples of obtuse angle in our environment.
1. The smaller angle formed by the two adjacent blades of a fan.

2. The smaller angle formed by the two sloping sides of a roof of a hut is an obtuse angle.

Note:
The key point to note here in this question is that while considering the acute angle, the smaller angle is an acute angle, but the larger angle is the reflex angle.

Similarly, for the obtuse angle, a reflex angle measures more than 180 degrees but less than 360 degrees. So, angle 190 degrees would be reflex.