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Hatshy [7]
3 years ago
8

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary. It

can either be two-column or paragraph.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
6 0
Mes ∠ O = mes (arc PQR/2)
mes ∠ Q = mes (arc POR/2)
arc PQR + arc POR = 360°
arc PQR/2 + arc POR/2 = 180°
THEN:
mes ∠ O + mes ∠ Q =  mes(arc PQR/2) + mes(arc POR/2) = 180°

∠ O + ∠ Q = 180° are supplementary
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