In the diagram, O is the centre of the circle ∠PQR = 75o, ∠OPS = yo and \(\bar{OR}\) is parallel to \(\bar{PS}\). Find y
a
15
b
30
c
45
d
75
Explanation
Correct Option
b
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Silentgeez
1 year ago
Given that ∠PQR = 75°, we know that the angle at the center of a circle is double the angle at the circumference, so ∠QOR = 2(75°) = 150°.
Since OR¯ is parallel to PS¯, we have ∠RPS = 150°.
Therefore, ∠OPS = 180° - ∠RPS = 180° - 150° = 30°.
Thus, y = 30°.
