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secondary 3 | E Maths
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Prove that OBQC is a cyclic quad.
Date Posted: 11 months ago
Views: 225
For cyclic quad,
Opposite angle in a cyclic quad have a total of 180°
Probe:
∠OCQ + ∠OBQ = 180°
∠OCQ and ∠OBQ is equal to 90° as PCQ and RBQ are tangents to the circle at C and B respectively.
Therefore, ∠BOC + ∠BQC = 180°
Sum of interior angle for quadrilateral is 360°
ALL opposite angle have a total of 180°, therefore OBQC is a cyclic quad.
Opposite angle in a cyclic quad have a total of 180°
Probe:
∠OCQ + ∠OBQ = 180°
∠OCQ and ∠OBQ is equal to 90° as PCQ and RBQ are tangents to the circle at C and B respectively.
Therefore, ∠BOC + ∠BQC = 180°
Sum of interior angle for quadrilateral is 360°
ALL opposite angle have a total of 180°, therefore OBQC is a cyclic quad.
Thank you !
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Hope this helps
Date Posted:
11 months ago
Thank you
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For explanation, refer to main comments. Hope this helps.
Date Posted:
11 months ago
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