Two straight lines PQ and RS intersect each other at point 'O'. If POS + QOS + QOR = 256°, then find the measure of POR.
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Given : Two straight lines PQ and RS intersect each other at point 'O'. If POS + QOS + QOR = 256°
To find: the measure of POR.
Solution:
Two straight lines PQ and RS intersect each other at point 'O'
Hence complete angle at point O is 360°
=> ∠POS + ∠QOS + ∠QOR + ∠ POR = 360°
POS + QOS + QOR = 256° given
=> 256° + ∠ POR = 360°
=> ∠ POR = 360° - 256°
=> ∠ POR =104°
the measure of ∠ POR. 104°
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