Question

5)In the given figure, l || m and t is a transversal.
If ∠5 = 45°, find the measure of each of the angles
∠1, ∠3, ∠4 and ∠8.
​

Answer 1

Answer:

L1 & L2 are in ratio 1:2

letL1=k

L2=2k

L1+L2=180

∘

(∵sumofanglesonastraightline=180

∘

)

⟹k+2k=180

∘

⟹3k=180

∘

⟹k=60

∘

⟹L1=60

∘

,L2=120

∘

L2+L3=180

∘

(sumofanglesonastraightline=180

∘

)

⟹L3+120

∘

=180

∘

⟹L=60

∘

L3=L7(∵l&mareparallel,∴correspondingangles)

L7=60