In the adjacent figure \(\overrightarrow {PR}\) is a straight line a

1.	In the adjacent figure \(\overrightarrow {PR}\) is a straight line and O is a point on the line. \(\overrightarrow {OQ}\) is a ray. If ∠QOR= 50°, then what is ∠POQ?
Answer» Given ∠QOR= 50° ∠POQ, ∠QOR are linear pair. ⇒ ∠POQ + ∠QOR = 180° ⇒ ∠POQ + 50° = 180° ⇒ ∠POQ - 180° – 50° = 130° ∠POQ =130°

In the adjacent figure \(\overrightarrow {PR}\) is a straight line and O is a point on the line. \(\overrightarrow {OQ}\) is a ray. If ∠QOR= 50°, then what is ∠POQ?

Answer»

Given ∠QOR= 50°

∠POQ, ∠QOR are linear pair.

⇒ ∠POQ + ∠QOR = 180°

⇒ ∠POQ + 50° = 180°

⇒ ∠POQ - 180° – 50° = 130°

∠POQ =130°