How do you measure an angle?

Answer 1

An angle is a measurement of two lines meeting at a common point. The measurement of an angle is recorded in "Degrees". An angle is when a Line "A" and a Line "B" meet at a Point "C". There are four main types of angles:

Type A) Acute angle

Type B) Right angle

Type C) Obtuse angle

Type D) Straight angle

An acute angle is an angle that measures between 0 degrees and 90 degrees. A right angle is a 90 degree angle. (Where a vertical Line "A" and a horizontal Line "B" meets at a Point "C".) An obtuse angle is an angle between 90 degrees and 180 degrees. (A straight line) A straight angle is a 180 degree angle. Now that you know the 4 different types of angles, you can now figure out how to measure an angle.

As stated above, an angle is a measurement of two lines meeting at a common point. To find the measurement of an angle, you can use either two of the following methods:

Method 1) Use a protractor to measure the angle

Method 2) Find a solution based on facts and equations to figure out the angle.

(Method 2 uses no type of mathematical tool, such as a protractor to find out the measurement.)

Method 1: Using a Protractor.

A Protractor is a mathematical tool, shaped in a semi-circle form to find out the measurement of angles. To measure an angle using a protractor, follow the following steps:

Step 1: Align the base of the angle with the base/origin of the protractor.

Step 2: Using the lines on the protractor locate the angle (2nd line)

Step 3: On each line on the protractor the degree will be provided. Find the angle and then read the degree.

Step 4: Your finished! When reading the degree make sure that the reading is accurate. It MUST be read correctly. Even the answer is a degree off, the answer is incorrect.

Method 2: Using facts and equations to determine your answer.

Finding out the measurement of an angle using facts and equations will most probably be incorrect. That is why when you produce a answer measuring the degree of an angle, it is always in variants. (In other words: X-X degrees) For example; you are given a question like this:

Question: What is the measure of the angle between the clock hands at 3:24? (On a 24 hour clock. Answer must be in variants)

Answer: (Follow the Sections/Steps)

Section 1: Establish the facts.

Step 1: The hour hand on 24 hour clock rotates at 360 degrees every 12 hours. Or 30 degrees every hour or 1/2 a degree every minute.

Step 2: The minute hand rotates 360 degrees every hour. Or 6 degrees per minute.

That is all the facts required for this question

Section 2: Solving (Initial condition)

Step 1: At 3 o' clock the angle is 90 degrees. The hour hand is at 3 and (assuming the 12 is 0) the minute hand is at 0.

Step 2: In 24 minutes the hour hand moves (0.5 x 24)= 12 degrees. The minute hand will moves (6x24)= 144 degrees.

Step 3: The new positions now are:

Hour Hand: 90 + 12=102

Minute Hand: 0 + 144=144

Step 4: You can now determine the answer. Though, for this question there are 2 possible answers, depending on the way they are seen at. The two possible answers are:

Answer 1: (144 - 102= 42) 42 degrees

Answer 2 :(360 - [144 - 102])

= (360 - 42= 318)

318 degrees.

This formula is very logical and is a good concept to learn to instantly figure out an angle.
Use a protractor
With a straight edged marked rule and a protractor.
Use a protractor.
Use a protractor.