11. In the given figure, AB II CD, 2 = 120° + x and 6 = 6x. Find the measure of 2 and 6.
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Since, angle 2 and 6 are corresponding angles they will be equal.
Hence,
Angle 2 = Angle 6
120°+x = 6x
x-6x=-120°
-5x=-120°
x= 120/5. ( the minus signs will cancel out each other since they are in the same line )
x=24°
By putting values,
2= 120°+x
= 120°+24°
= 144°
And,
6= 6x
= 6(24°)
= 144°
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