Question

Two straight lines PQ and RS intersect each other at point 'O'. If ∠POS + ∠QOS + ∠QOR = 256°, then find the measure of ∠POR. ​

Answer 1

104°

Step-by-step explanation:

If PQ and RS intersect at a point O, they will form four angles which will sum up to 360°.

Here, the sum of three of the angles are given.

Then,

∠POS + ∠QOS + ∠QOR + ∠POR = 360°

256° + ∠POR = 360°

∠POR = 360° - 256°

∠POR = 104°