The number of degrees and grades in an angle are in the ratio 9 : 10. Write a linear equation to express this statement. Draw the graph of the same and answer the following questions from the graph: i) if the measure of an angle is 36º, what is its measure in grades? ii) If the measure of an angle is 70g, what is its measure in degrees?
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Answer:
Let the number of side of a polygon be 5x and angle a.
& for other polygon number of side be 4x and angle β.
a=n(n−2)π=5x(5x−2)π:β=4(4x−2)πa−β=20π=xπ((55x−2)−(44x−2))
⇒x=2
side : 10,8
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