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Given m//n find the value of x and y (9x-1)° (y-20)° (5x-15)°

User Gbru
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1 Answer

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Looking at the given diagram,

angle 9x - 1 and angle y - 20 are linear pairs. they lie on a straight line. The sum of the angles on a straight line is 180 degrees. It means that

9x - 1 + y - 20 = 180

y = 180 + 1 + 20 - 9x

y = 201 - 9x equation 1

Also, angle 5x - 15 and angle y - 20 are vertically opposite angles. Vertically opposite angles are equal. It means that

5x - 15 = y - 20 equation 2

Substituting equation 1 into equation 2, it becomes

5x - 15 = 201 - 9x - 20

Collecting like terms, it becomes

5x + 9x = 201 - 20 + 15

14x = 196

x = 196/14

x = 14

y = 201 - 9x = 201 - 9 * 14

y = 201 - 126

y = 75+

User Kevin Leo
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