Question

Quadrilateral PQRS is a cyclic quadrilateral and Q-R-T. If angle QPS = 110°, angle QPS= 110°, angle QRS= x and angle SRT= y, then find the values of x and y

Answer 1

Answer:

x = 70°

y = 110°

Step-by-step explanation:

Sum of opposite angles of a cyclic quadrilateral is 180°

Therefore

QPS + QRS = 180°

110° + x = 180°

x = 180° - 110°

x = 70°

x + y = 180° (Linear pair)

70° + y = 180°

y = 180° - 70°

y = 110°

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Answer 2

Answer:

x=70° and y=110°

Step-by-step explanation:

refer to image above