Question

if two lines pq and rs intersect each other at o and angle qor = 70 degree then find angle por
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Answer 1

Answer:

∠POR+∠ROQ=180° ( Linear pair of angles )

But ∠POR :∠ROQ= 5 : 7  ( Given )

Therefore, ∠POR = 5/12 × 180 = 75°

Similarly, ∠ROQ = 7/12 × 180 = 105°

Now, ∠POS =∠ROQ = 105°  ( Vertically opposite angles )

and ∠SOQ =∠POR = 75°  ( Vertically opposite angles )