45 Degree Angle
A 45-degree angle is an acute angle. It is half of the right angle or 90-degree angle. An angle bisector of a 90-degree angle forms two equal angles of 45 degrees each. The 45-degree angle can be seen in so many places in our day-to-day life, such as in scissors, doors, windows, etc. It is also seen as the angle formed by the diagonal of a square with its sides. A right-angled triangle has 2 angles of 45 degrees. Let us learn more about the 45-degree angle in the following section along with a few solved examples.
|1.||What is a 45 Degree Angle?|
|2.||Construction of 45-Degree Angle Using a Protractor|
|3.||45-Degree Angles in Real Life|
|4.||Solved Examples on 45 Degree Angle|
|5.||Practice Questions on 45 Degree Angle|
|6.||FAQs on 45 Degree Angle|
What is a 45-Degree Angle?
A 45-degree angle is exactly half of a 90-degree angle formed between two rays. It is an acute angle and two angles measuring 45 degrees from a right angle or a 90-degree angle. We know that an angle is formed when two rays meet at a vertex.
If the angle formed at the vertex O measures 45 degrees, we call it a 45-degree angle.
Construction of 45-Degree Angle Using a Protractor
Constructing a 45-degree angle using a protractor is an easy process. We can draw a 45-degree angle by using the following steps:
- Step 1: Draw a line segment OA
- Step 2. Place the protractor at the point O
- Step 3: In the outer circle of the protractor look for 45 degrees reading and with a pencil mark a dot and name it B.
- Step 4. Join O and B now. Angle ∠AOB = 45°
45-Degree Angles in Real Life
We can see the 45-degree angle in so many places around us, for example, the laptop lid will make a 45-degree angle with its base if kept appropriately, doors make a 45-degree angle if held properly. Angles are all around us when you open your mouth also our lips form an angle. Observe where you can see 45-degree angles in your surrounding areas.
Let us see a few examples of 45-degree angles in our surroundings:
- A 45-degree angle is the best angle for the sun's rays to reach the farthest distance. This is why some solar panels are inclined to 45 degrees based on geographical position.
- Also when you want to throw a ball, a 45-degree angle is the best as it reaches the farthest, you will read this in physics in coming years in depth.
- A 45-degree angle is used in architecture to construct designer doors and window grills.
Topics Related to 45 Degree Angle
Check out some interesting topics related to a 45-degree angle.
Solved Examples on 45 Degree Angle
Example 1: Use a protractor and measure the given angle between the legs of this scissor.
Place the protractor along with one of the arms of the scissors and measure. We can see that the angle formed is 45 degrees.
Answer: The measured angle is 45 degrees.
Example 2: Tim drew a horizontal line on a piece of paper. Ron divided it into two halves by drawing a vertical line. Jack came and further divided the two parts into 4 equal parts. Finally, their drawing was like this.
How many 45 degrees are there?
A straight angle is divided into two halves will be 90° each and 90° divided into two halves will be 45° each. So totally there are four 45° angles in the straight line drawn by Tim.
Answer: Four 45° angles make a straight line.
FAQs on 45 Degree Angle
What Does a 45-Degree Angle Look Like?
45-degree angle looks like a greater than (>) sign or lesser than sign (<). If we draw an angle bisector to a 90-degree angle, the small angles thus formed will be 45-degree angles. It also looks like the open face of scissors.
How Do You Find an Angle Without a Protractor?
We already have two arms of the angle. we can join the other ends of the two arms and form a triangle and measure the length of each side and use the trigonometric ratio to find the angle measures.
How Many 45 Angles Does it Take to Make a Full Turn?
A full turn is 360°. Since 45 × 8 = 360 there are eight 45° in a full turn.
How to Measure 45 Degree Angle?
We can measure the 45-degree angle using a protractor. We align the base of the angle with the straight line at the protractor. Align the center of the protractor with the vertex of the angle, then check the other arm of the angle if it aligns with the 45-degree line of the protractor or not. Hence we measure the 45-degree angle using the protractor like this.
Where is 45 Degree Angle?
A 45-degree angle is an acute angle. It is half of the right angle or 90-degree angle. It can be formed when we find the angle bisector of the 90-degree angle. The 45-degree angle can be seen in so many places in our day-to-day life, such as in scissors, doors, windows, etc. It is also seen as the angle formed by the diagonal of a square with its sides.