Answer:
There are 3 angles on a straight line : WYX, WYV, VYZ
now,
given, (WYV = 6x - 12) , (VYZ = x + 16) ,
(WYX = VYZ) { They are opposite angles}
.
Sum of all the angles will be 180°
WYX + WYV + VYZ = 180°
(6x - 12) + (x + 16) + (x + 16) = 180°
6x - 12 + 2x + 32 = 180°
8x + 20 = 180°
8x = 180° - 20°
8x = 160°
x = 160°/8 = 20°
now,
put the value of 'x' in WYV i.e. (6x - 12) = (6*20 - 12) ° = (120 - 12) ° = 108°
hence, WYV = 108°
.
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