The remaining angles m∠R and m∠S are 88° and 88° respectively.
What are cyclic quadrilateral ?
"A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral"
Properties of cyclic quadrilateral:
The angles opposite to each other are supplementary in a cyclic quadrilateral. That means the sum of the opposite angles is 180°.
so,
m∠Q + m∠S = 180°
92°+m∠S= 180°
so, m∠S = 88°
similarly,
m∠P + m∠R= 180°
92° + m∠R = 180°
so, m∠R = 88°
Hence,
m∠R = m∠S
Hence, statement 1 is true.
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