Question

11.In Fig. find the measures of ∠ PON and ∠ NPO.​

Answer 1

In triangle LOM,

⇒∠LOM+∠OLM+∠OML=180

o

⇒∠LOM+70

o

+20

o

=180

o

⇒∠LOM=180

o

−70

o

−20

o

⇒∠LOM=90

o

∵∠LOM=∠PON

∴∠PON=90

o

Now, in triangle PON,

⇒∠PON+∠ONP+∠NPO=180

o

⇒90

o

+70

o

=∠NPO=180

o

⇒∠NPO=180

o

−70

o

−90

o

⇒∠NPO=20

o

Therefore

∠NPO=20

o

,and∠PON=90

o

Answer 2

Step-by-step explanation:

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