in a circle with centre c take a point p and q on the circle such that pq = radius of the circle join cp and cq .measure,,<pcq.pcq an equiangular triangle?
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Here's Ur Answer:
In OPSQ
∠0+∠P+∠S+∠Q=360
∘
⇒∠O+90 +20 +90 =360
∘
⇒∠O=160
∘
Angle subtended by PQ at center is twice
that of subtended at circumference
⇒∠O=2∠PMQ
⇒160
∘
=2∠PMQ
⇒∠PMQ=80
∘
In PMQR, Sum of opposite angles =180
∘
(PMQR is cyclic)
⇒∠M+∠R=180
∘
⇒80
+∠R=180
⇒∠R=100
∘Stay Cool
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