Introduction to reflex measure of an angle.
Let x be the given angle. Then we can define three important angles as follows:
1. The complimentary angle of x is 90 – x
2. The supplementary angle of x is 180 – x.
3. The reflex angle of x is 360 – x.
The above difference of angles must be known clearly.
Example: if x = 400, Then the reflex angle of x is given by 360 – x = 360 - 40 = 3200.
The above diagram, clearly shows that, the reflex angle of any angle is the remaining value of 360 beside the given angle x.
Now let us see some examples to understand and to practice these concepts in the following article.
Example Problems on Reflex Measure of Angle.
Ex 1: What is the reflex angle of 800?
Solution: The reflex angle of 80 is 360 - 80 = 2800.
Ex 2: Find the reflex of A is the given diagram Here XY is a straight line.
Solution: In the given diagram, A+15 = 180.
Therefore A = 180 -15 = 1650.
Therefore the reflex angle is given by 360 - A = 360 – 165 = 1950.
Ex 3: Find the reflex angle of B in the given diagram. Here XY is a straight line. Angle POY is 900.
Solution:
Since POY = 90
POY = 35+B = 90 implies B = 90-35
Therefore B = 550.
Therefore the reflex angle of B is 360 – B = 360 -55
= 3050.
Ex 4: Find the reflex angle of P in the given diagram. Here XY is a straight line.
Solution: Since XY is a straight line, Angle XOY = 180
implies 25+P = 180
implies P =180-25 =1550
Therefore the reflex angle of P is 360 – P = 360 -155 = 2050.
Ex 5: The reflex angle of P is 2250 . Find P.
Solution: Given: The reflex angle of P is 225 implies 360 - P = 225.
implies –P = 225 - 360 = -1350.
Therefore P =1350.
Between, if you have problem on these topics get help with math problems, please browse expert math related websites for more help on college algebra solver step by step.
Practice Problems on Reflex Measure of Angle
1. Find the reflex angle of 300.
[Ans: Reflex angle of 300 is 3300]
2. If the reflex angle of X is 1500, find the angle X.
[Ans: X = 2100]
I hope these examples would have helped you to find and measure the reflex angle for the given angle.
Let x be the given angle. Then we can define three important angles as follows:
1. The complimentary angle of x is 90 – x
2. The supplementary angle of x is 180 – x.
3. The reflex angle of x is 360 – x.
The above difference of angles must be known clearly.
Example: if x = 400, Then the reflex angle of x is given by 360 – x = 360 - 40 = 3200.
The above diagram, clearly shows that, the reflex angle of any angle is the remaining value of 360 beside the given angle x.
Now let us see some examples to understand and to practice these concepts in the following article.
Example Problems on Reflex Measure of Angle.
Ex 1: What is the reflex angle of 800?
Solution: The reflex angle of 80 is 360 - 80 = 2800.
Ex 2: Find the reflex of A is the given diagram Here XY is a straight line.
Therefore A = 180 -15 = 1650.
Therefore the reflex angle is given by 360 - A = 360 – 165 = 1950.
Ex 3: Find the reflex angle of B in the given diagram. Here XY is a straight line. Angle POY is 900.
Since POY = 90
POY = 35+B = 90 implies B = 90-35
Therefore B = 550.
Therefore the reflex angle of B is 360 – B = 360 -55
= 3050.
Ex 4: Find the reflex angle of P in the given diagram. Here XY is a straight line.
implies 25+P = 180
implies P =180-25 =1550
Therefore the reflex angle of P is 360 – P = 360 -155 = 2050.
Ex 5: The reflex angle of P is 2250 . Find P.
Solution: Given: The reflex angle of P is 225 implies 360 - P = 225.
implies –P = 225 - 360 = -1350.
Therefore P =1350.
Between, if you have problem on these topics get help with math problems, please browse expert math related websites for more help on college algebra solver step by step.
Practice Problems on Reflex Measure of Angle
1. Find the reflex angle of 300.
[Ans: Reflex angle of 300 is 3300]
2. If the reflex angle of X is 1500, find the angle X.
[Ans: X = 2100]
I hope these examples would have helped you to find and measure the reflex angle for the given angle.
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