Question

in a cyclic quadrilateral pqrs angle SPR=75, angle RSQ=50 and angle SRP 40. find angle QRS

Answer 1

We know that,
Sum of angles of a quadrilateral is 360°
angle SPR = 75°
angle RSQ = 50°
angle SRP = 40°
angle QRS =?
So,
angle SPR+angle RSQ+angle SRP +angle QRS= 360°
75°+50°+40°+angle QRS = 360°
angle QRS = 360°-165°
angle QRS = 195°

Answer 2

I hope It will help you

See the solution in the picture

The angle QRS = 55°

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