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The sum of the opposite angles of the inscribed quadriateral is 180 degrees. The measure of ∠QRO is 64 degrees
<h3>Circle geometry</h3>The sum of the opposite angles of the inscribed quadriateral is 180 degrees.
From the given diagram;
<O + <Q = 180
x + 16 + 6x - 4 = 180
7x + 12 = 180
7x = 168
x = 168/7
x = 24
Determine the measure of ∠QRO
∠QRO = 2x + 16
∠QRO = 2(24) + 16
∠QRO = 48 + 16
∠QRO = 64 degrees
Hence the measure of ∠QRO is 64 degrees
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