![]() Dividing both sides of the equation by 57.29578 we get about 0.01745329 radians = 1 degrees. Knowing that 1 radian = 57.29578 degrees we can now find the conversion factor for converting back. Note that there are rounding errors in these values. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that radian will cancel out leaving you with degree.ġ degree = 0.01745329 radians, 1 degree / 0.01745329 radians = 1ġ radian = 1 radian * (1 degree / 0.01745329 radians) = 57.29578 degreesĪnd we now have our factor for conversion from radians to degrees since 1 * 57.29578 = 57.29578. Say you want to convert from radians to degrees. To understand how to also convert the units follow this example. So, to convert directly from radians to revolutions you multiply by 0.1591549. Or, you can find the single factor you need by dividing the A factor by the B factor.įor example, to convert from radians to revolutions you would multiply by 57.29578 then divide by 360. To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into degrees then divide by the factor for B to convert out of degrees. To convert from degrees back into units in the left columnĭivide by the value in the right column or, multiply by the reciprocal, 1/x.Ģ86.4789 degrees / 57.29578 = 5 radians Multiply by the value in the right column in the table below.ĥ radians * 57.29578 = 286.4789 degrees To simply convert from any unit into degrees, for example, from 5 radians, just Where S is our starting value, C is our conversion factor, and How to Convert Units of AnglesĬonversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem: Convert units of angles by entering the value to convert and the from and to units. Supplementary Angles add up to be 180⁰ Supplementary Angles look like a straight line. ![]() Complementary Angles add up to be 90⁰Ĭomplementary Angles look like a right angle. So you change the S in supplementary into 180*!! S S 1S0ġ3 Click on the link below to manipulate different angles that are Supplementary.ġ4 Wrap it up. JUSTIFICATION: 120⁰ + 60⁰ = 180⁰ Example of Supplementary Anglesĭraw the S in Supplementary S Since supplementary angles equal 180⁰, turn that S into a number 8 by drawing a line diagonal, then add a 1 in front of that and a 0 after to make it 180. Angle A and Angle B are complementary angles because together they create a 180⁰ angle. What is the supplementary angle of 143⁰? SOLUTION: 180⁰ - 143⁰ = 37⁰ Angle A measures 120⁰ and Angle B measures 60⁰. If one angle is known, its supplementary angle can be found by subtracting the measure of its angle from 180⁰. ![]() Just remember this phrase: “It is always RIGHT to give COMPLIMENTS” A RIGHT angle is 90 ⁰ and COMPLIMENT and COMPLEMENTARY sound alikeĨ Click on the link below to manipulate different angles that are Complementary.ĩ Angle 1 Angle 2 Angle 1 + Angle 2 Supplementary Angles ?ġ0 Two angles are supplementary if the sum of their angles equals 180⁰. So you change the C in complementary into 90*!! C C C JUSTIFICATION: 25⁰ + 65⁰ = 90⁰ Examples of Complementary Anglesĭraw the C in Complementary C Since complementary angles equal 90*, turn that C into a number 9 by drawing a line, then add a 0 after that to make it 90. Angle A and Angle B are complementary angles because together they create a 90⁰ angle. What is the complementary angle of 43⁰? SOLUTION: 90⁰ - 43⁰ = 47⁰ So, 43⁰ and 47⁰ are complementary angles Angle A measures 25⁰ and Angle B measures 65⁰. If one angle is known, its complementary angle can be found by subtracting the measure of its angle from 90⁰. Presentation on theme: "Complementary and Supplementary Angles"- Presentation transcript:Ģ Angle 1 Angle 2 Angle 1 + Angle 2 Complementary Angles ?ģ Two angles are complementary if the sum of their angles equals 90⁰ forming a right angle.
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