find x
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In figure PQRS
angleSPQ+anglePQR+angleQRS+angleRSP= 360°. [angle sum property of a quadrilateral]
100°+anglePQR+70°+85°=360°
anglePQR=105°=anglePQS+angleSQR
40°+angleSQR=105°
angleSQR=65°
angleSQR=angleQRT [alternate interior angles]
therefore X=65°
Explanation for angle sum property of a quadrilateral:
This property states that the sum of all the interior angles of a quadrilateral is 360°
Hope it helps you
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