in the given figure, m is parallel to n and p is parallel to q if angle 1 is 75° , then prove that angle 2 = angle 1 +1/3 of a right angle
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8th
Maths
Understanding Quadrilaterals
Parallelogram
In figure, m||n and p||q . ...
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Asked on December 26, 2019 by
Harvinder Shãrmâ
In figure, m∣∣n and p∣∣q. If ∠1=75
o
, prove that ∠2=∠1+
3
1
of a right angle.
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ANSWER
p∥q
⇒∠3=∠1 (corresponding angles)
⇒∠3=75
∘
m∥n
Now , ∠2+∠3=180
∘
⇒∠2+75
∘
=180
∘
⇒∠2=105
∘
RHS =∠1+
3
1
×90
∘
=75
∘
+30
∘
=105
∘
=∠2
=LHS
hence proved
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