3. In the given figure, l || m and p is the
transversal. If angle1 and angle2 are in the ratio
1:2, find the measure of each of the angles.
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Answered by
1
Answer:
Correct answer is 60
Step-by-step explanation:
L1 & L2 are in ratio 1:2
let L1=k
L2=2k
L1+L2=180 ∘
(∵sum of angles on a straight line = 180 ∘ )
⟹k+2k=180 ∘
⟹3k=180 ∘
⟹k=60 ∘
⟹L1=60 ∘
,L2=120 ∘
L2+L3=180 ∘
(sum of angles on a straight line = 180 ∘ )
⟹L3+120 ∘
=180 ∘
⟹L=60 ∘
L3=L7(∵ l & m are parallel, ∴correspondingangles)
L7=60 ∘
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