Question

pls do this question

Answer 1

A chord subtends double the angle at the centre of circle as at the circumference.
For chord XY, (angle XPY) = 2 * (angle XZY)        ---- 1
For chord YZ, (angle ZPY) = 2 * (angle YXZ)        -----2
Adding the two equations,
(angle XPY) + (angle ZPY) = 2 * (angle XZY) + 2 * (angle YXZ)
or, (angle XPZ) = 2 * (angle XZY + angle YXZ)

Answer 2

we know that angle xyz= 180-yxz-yzx ( by angle sum property of a triangle) ...1
and we also know that 2 xyz= reflex xpz
                                        xyz=reflex angle xpz/2........2

1=2

so reflex xpz/2=180- yxz+yzx 

so on solving we get...xpz=2(xzy+yxz) 

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