Question

Find x.....
Need full explanation....
Its urgent...
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Answer 1

Answer:

We have the theorem : the angle subtended by an arc at the centre of the circle is double that which it subtends at any point on the remaining part of the circumference.

that is , reflex angle POR= 2*angle PQR

reflex angle POR=200 degrees.

angle POR=360-200=160 degrees.  (The total angle at the center is 360 )          

 PO=OR(radius of the circle )

OPR=ORP (Angle opp. to equal sides are equal)

OPR=x=(180-160 )/2=10 degrees.

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Answer 2

Answer:

angle of center is double then the remaining part angle pqr =2por

por =50

as we know that angle some property

all angle sum of triangle is 180

x+pro+por=180

x=pro equal opposite side have equal opposite angle then circle radius are equal

x+x+50=180

2x=130

x=65