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Find the measure of an angle that is 54 degree less than two times its supplement?
let x be the anglelet y be the supplementx = 2y - 54x + y = 1802y - 54 + y = 1803y = 234y = 78x = 180 - 78x = 102The measure of the angle is 102
What is the sum of the interior angles of a 102 sided-polygon?
Remember the two equations. Exterior angle = 360 / no. of sides. Interior angle = 180 - exterior angle. So for 102 sided polygon. exterior angle = 360/102 = 3.5294... Interior angle = 180 - 3.5294... = 176.4706.... Hence sum of the 102 sided polygon's angles is 102 X 176.4706 = 18,000 degrees. ( to nearest degree).
What does a 102 degree angle look like?
A 102-degree angle would be acute, measuring less than 90 degrees but more than 0 degrees. It would appear as an angle that is slightly larger than a right angle (90 degrees) but smaller than a straight angle (180 degrees). Visually, it would look like an angle that is almost halfway between a right angle and a straight angle.
What is a 98 degree angle?
Every minute on a clock is six degrees. 12:16 would be 96 degrees. 12:17 is 102 degrees. 98 degrees, an obtuse angle, would be just past 12:16.
How do you measure an angle?
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 angleType B) Right angleType C) Obtuse angleType D) Straight angleAn 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 angleMethod 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 questionSection 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=102Minute Hand: 0 + 144=144Step 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 degreesAnswer 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 protractorWith a straight edged marked rule and a protractor.Use a protractor.Use a protractor.
