MEASURE ANGLES THROUGH EQUATIONS

An equation in mathematics is a formula, which expresses equality effectively of two expressions through connecting expressions with equal signs. The study is going to focus on the concept of “angle protractor” and the use of equations in solving unknown angles. In mathematics, there is a requirement for solutions in terms of solving an equation. “Protractor” is an efficient and effective instrument in estimating the measure of angles. This instrument assists in drawing and measuring different kinds of angles. The shape of the common protractor relies on the semicircle shape, which has an outer and inner scale, and the marking of the protractor starts from “0° to 180°.” 

Concept of angle protractor

The concept of angle protractors can be defined as a measuring instrument, generally made by transparent glass or plastic in terms of measuring angles. There is also the availability of advanced protractors for instance “bevel protractors” that have almost two “swinging arms,” which assists effectively in measuring different angles. Protractors assist in measuring and constructing plane angles and the marking of protractors begins from the mark of “0° to 180°.” Protractors can have an effective degrees scale or radian scale on it based on the measurement system. There are multiple shapes of protractors that can be found in the market such as quarter-circle, sixth circle, rectangle, square, full circle, or semi-circle.  

Engineers and mechanics use protractors in their daily life in terms of getting positive results from their work activities. Protractors are generally used to measure the angles by maintaining accuracy and efficiency. Most protractors have the measurements in degrees and the measurement is lined on the protractor from 0 to 180 degree and 180 to 0 degree. The majority of protractors in mathematics have different number scales and there is important to utilize the scales with the same number for the angles on both sides. “Angle protractors” assist in measuring every angle effectively and accurately. There is a requirement for effective knowledge regarding the usage of protractors and different kinds of angles. Effective knowledge and skills can help people in measuring and evaluating angles effectively. Engineers and architects can face challenges in measuring angles without usage of angle protractors. 

Usage equations and formula of finding angles

There are multiple formulae in terms of finding angles efficiently. For instance the formula name of tan, cos, and sin relies on the formulae of      “sin θ=opposite side/hypotenuse”, “cosθ= adjacent side/hypotenuse” ,tan = “opposite sin/adjacent side”. The formula name of sines’s law based on the formulae of “a sin A= bsin B = csin C=2r”. The formula name of law of cosines relies on the formula of “a2=b2+c2-2bc∙cosA,” “b2=c2+a2-2ca∙cosB”, “c2” = “c2=a2+b2-2ab∙cosC”. As an example, trigonometric formula is “sin2θ+cos2θ=1”. 

An effective example of using the formula in terms of finding angles has been defined below:

• Find the fifth interior angle of the pentagon in case four of interior angles are 97o, 143o, 120o, and 108o. 

Solution 

Pentagon’s sides number is, “n=5”

Sum of 5 “interior angles” is: “180 (n -2) ° = 180 (5 – 2) ° = 540°.”

“The sum of the given 4 interior angles” = “108°+ 120°+ 143°+ and 97°= 468°”

Therefore, “the fifth interior angle” = “540° – 468° = 72°”

Answer

Fifth interior angle is 72o. 

Solutions and formulas play a critical role in finding angles effectively and efficiently. For instance, the formula name of “sum of interior angles effectively in polygon of n sides” is based on the formula of “180 (n-2) degrees”. There is a requirement for effective knowledge regarding formulas in terms of measuring and evaluating the concepts of angles effectively. An equation in math states that there is an equality between two things for instance “x+2=6”. The equation of “x+2=6” describes the things on the left side for instance x+2 is the equal of the things on the right side for instance “6”. 

Conclusion 

Based on the above discussion it can be concluded that ‘angle protractors’ assist people in measuring different kinds of angles effectively and accurately. The formula plays a critical role in finding angles and evaluating different angles accurately. Multiple challenges, barriers, risks and difficulties can occur without the usage of ‘angle protractors’ in the activities of daily lives. The concept of angle protractors and formulas in terms of finding angles has been described effectively in this study. Effective knowledge regarding the markings and varieties of protractors can help individuals in analyzing different angles efficiently. Protractors are the instruments used to take the measurements of angles accurately.