Solved Examples on Straight Angles
Example 1: If you add a straight angle to a 60°, what will be the total angle measure?
Solution:
As we know, Straight Angle =180°
⇒ 60° + 180° = 240°
Example 2: There are two angles on a straight line if one of its angles is 75 °. Find another one.
Solution:
Let the angle be x ;
Given: another angle = 75°Sum of all angles in the straight line is 180°
∴ x + 75 =180
∴ x = 180 – 75 = 105°
Example 3: Find the value of ‘x’ in the given figure below
Solution:
Given that,
Given: ∠AOC = 50° and ∠BOC = x
In the fig we can see that ∠AOB is straight angle i.e. 180°
∠AOB = ∠AOC + ∠BOC
⇒ 180° = 50 + x
⇒ x = 180° – 50°
⇒ x = 30°
Example 4: Find the value of ‘ x ‘ in given figure below, where O is the centre of circle.
Solution:
Given;
∠COD = 90° ( right angle )
∠BOD = 50°
∠AOC = xIn the fig we can see that ∠AOB = 180° ( angle of straight line )
∠AOC + ∠COD + ∠BOD = ∠AOB
putting values, we getx + 90° + 50° = 180°
⇒ x = 180° – ( 90° + 50° )
⇒ x = 180° – 140°
⇒ x = 40°
Straight Angle
Straight Angle, is essentially a perfectly straight line and measures 180°. Straight is the simplest and most basic angle in geometry.
Imagine a line that doesn’t bend or curve at all, just like a super straight road. Well, that’s what we call a straight angle. It’s just like a flat line that goes straight ahead. This angle is not only easy to visualize but also serves as a reference point for various geometric principles. Let’s understand more about Straight Angles by briefly learning about angles and their types.
Table of Content
- What is a Straight Angle?
- How many degrees in a Straight Angle?
- Real-Life Examples of Straight Angle
- Construction of Straight Angle
- Straight Angle in Pair
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