calculate the value of angle X, angleY and angle Z
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We know that in a circle there is 360° angle
so, 6x +6x +4z+ 4z+ 8y + 8y = 360
12x + 8z + 16y = 360
4( 3x + 2z + 4y ) = 360
3x+ 2z+ 4y = 360/ 4
3x + 2z + 4y = 90 ....----(1.). × 2
6x + 4z + 8y = 180 ( linear pair ) -------(2.)
6x + 4z = 90°
So, 90° + 8y = 180
8y = 180/ 90
8y = 90
y = 90 / 8 = 11.2°
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