Question

Uh.. This.. Can u help me with this question

Answer 1

QUADRILATERAL PQRS IS. A TRAPEZIUM.....

SO ITS ONE PAIR OF OPPOSITE SIDWS IS PARALLEL.....

SO PQ IS PARALLEL TO RS....

SO ANGLE P+ANGLE S = 180°
AS THEY ARE INTERIOR ANGLES.......

AND INTERIOR ANGLES ARE SUPPLIMENTORY......

2.....

QUADRILATERAL PQRS IS CYCLIC.....

SO ACCORDING TO THE PROPERTY OF CYCLIC QUADRILATERAL ITS OPPOSITE ANGLES ARE SUPPLIMENTORY.....

SO ANGLE S + ANGEL Q = 180°

3....

ANGLE P+ ANGLE R= 180°>>>>>>>...CYCLIC

ANGEL R + ANGLE Q = 180°>>>>>>.... INTERIOR ANGLES......

SO ANGLE P+ ANGEL R = ANGLE R + ANGEL Q.......

SO ANGLE R GETS CANCELLED AS IT IS ON BOTH SIDES.....

SO ANGLE P = ANGLE Q........

Answer 2

HEYA MATE, HERE IS UR ANSWER __________________

1)Angle P+angle S=180 ( PQRS is a trapezium, In trapezium pair of opposite sides are parallel ) ( By co - interior property of angles)

2)Angle S+Angle Q=180 (PQRS is a cyclic quadrilateral and opposite angles =180)

3)Angle P+Angle S=Angle S+Angle Q

Angle P+Angle S -angle S= Angle Q

Angle P=Angle Q

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