In the figure l , m and n are parallel line are intersected by transversal line p at the point of x , y, z .
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In figure, l,m and n are parallel lines intersected by transversal p at X,Y and Z respectively. Find ∠1, ∠2 and ∠3.
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As per diagram,
l∣∣m∣∣n and p is transversal.
We know that 60
o
and ∠4 angles on a straight line.
60+∠4=180
o
∴∠4=120
o
We know that corresponding angle are equal
∠1=∠4 [ ∵ l∣∣m and p is transversal ]
∠1=∠2 [ ∵ m∣∣n and p is transversal ]
=> ∠1=∠4=120
o
[ ∵ ∠4=120
o
]
∠1=∠2=∠4=120
o
We know that vertically opposite angles are equal.
∠3=∠2
=> ∠3=120
o
[ ∵ ∠4=120
o
]
∴∠1=∠2=∠3=∠4=120
o