In the given figure if l is parallel to m and if m is parallel to n, find the measure of angle x and angle y
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Step-by-step explanation:
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Angle 1 & 2 are in ratio 3 : 2
Angle 1 & 2 are on straight line
So 3x + 2x = 180
So Angle 1 + Angle 2 = 180
3x + 2x = 180
5x = 180
x = 36
So Angle 2 = 2x
= 2(36)
= 72
So Angle 1 = 3x
= 3(36)
= 108
Angle 2 = 4 ( Vertically Opposite Angle )
So Angle 4 = 72
Angle 1 = 3 ( Vertically Opposite Angle )
So Angle 3 = 108
Angle 3 = 5 ( Alternate interior angle )
So Angle 5 = 108
Angle 4 = 6 ( Alternate interior angle )
So Angle 6 = 72
Angle 1 = 7 ( Alternate exterior angle )
So Angle 7 = 108
Angle 2 = 8 ( Alternate exterior angle )
So Angle 8 = 72
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