Please solve for M<PRQ​

asked Jul 19, 2022 181k views

2 votes

Please solve for M<PRQ

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6 votes

Answer:

$m\angle PRQ =49\degree$

Explanation:

$m\angle PSQ = 360\degree - (128\degree + 134\degree )$

$m\angle PSQ = 360\degree - 262\degree$

$m\angle PSQ = 98\degree$

Now, by inscribed angle theorem:

$m\angle PRQ = (1)/(2) * m\angle PSQ$

$m\angle PRQ = (1)/(2) * 98\degree$

$m\angle PRQ =49\degree$