) in the given figure, line PQ and RS intersect each other at point 0.If POR: ROQ = 5:7, find all the angles. About the author Maya
Step-by-step explanation: POR+∠ROQ=180 o (Linear pair of angles) But ∠POR:∠ROQ=5:7 (Given) Therefore, ∠POR= 12 5 ×180=75 o Similarly, ∠ROQ= 12 7 ×180=105 o Now, ∠POS=∠ROQ=105 o (Vertically opposite angles) and ∠SOQ=∠POR=75 o (Vertically opposite angles) Reply
Step-by-step explanation:
POR+∠ROQ=180
o
(Linear pair of angles)
But ∠POR:∠ROQ=5:7 (Given)
Therefore, ∠POR=
12
5
×180=75
o
Similarly, ∠ROQ=
12
7
×180=105
o
Now, ∠POS=∠ROQ=105
o
(Vertically opposite angles)
and ∠SOQ=∠POR=75
o
(Vertically opposite angles)