Question

What is angle 3 and angle 6
^
1\2
-----------
3\4


5\6
----------
7\8

Answer 1

Answer:

l∥m and p is their transversal and

∠1=120

∘

∠1+∠2=180

∘

[Straight line angle]

120

∘

+∠2=180

∘

∠2=180

∘

−120

∘

We get

∠2=60

∘

Therefore, ∠2=60

∘

But ∠1 and ∠3 [Vertically opposite angles]

Hence, ∠3=∠1=120

∘

Similarly,

∠4=∠2 [Vertically opposite angles]

∠4=60

∘

∠5=∠1 [Corresponding angles]

Hence, ∠5=120

∘

Similarly,

∠6=∠2 [Corresponding angles]

∠6=60

∘

∠7=∠5 [Vertically opposite angles]

Hence, ∠7=120

∘

and ∠8=∠6 [Vertically opposite angles]

Hence, ∠8=60

∘

Therefore, the measures of angles are,

∠2=60

∘

∠3=120

∘

∠4=60

∘

∠5=120

∘

∠6=60

∘

∠7=120

∘

and

∠8=60

∘