Question

In the adjoining figure line AB || line PQ.

Line LM is a transversal.

m<MNQ = 70°, then find m<AON.​

Answer 1

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Step-by-step explanation:

• m<MNQ = 70°
• m<NOB = 70°...(Corresponding angles)
• m<AON + m<NOB = 180°
• m<AON + 70° = 180°
• m<AON = 110°

Answer 2

Answer:

m∠AON = 110°

Step-by-step explanation:

m∠MNQ = 70°

m∠MNQ = m∠PNO ... (Vertically opposite angles)

=> m∠PNO = 70°

Now,

m∠PNO + m∠AON = 180°.... (Angles in linear pair)

=> 70° + m∠AON = 180°

=> m∠AON = 180° - 70°

=> m∠AON = 110°