Question

In the adjoing figure, angle 2 is 125 degree and angle 5 is 550 degree, Is l parallel m ? give reason in support of your answer.


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Answer 1

Answer:

Yes

Step-by-step explanation:

angle 6 +angle 5 =180(linear pair)

angle6=180-55

angle 6=125

angle 6=angle 2

so by corresponding angle theorem , if corresponding angles are equal then the lines are also equal

hope it may help you

Answer 2

Answer:

p∥q then

125

∘

+∠e=180

∘

(linear pair)

∠e=55

∘

∠f=55

∘

(vrtically opposite angles)

∠a=∠e (pparallel toq)

∠a=55

∘

∠d=125

∘

(pparalleltoq)

∠c=∠f=55

∘

∠b+∠c=180

∘

(linear pair).

∠b=125

∘