Question

Point o is the centre of the circle Determine the values of x y z

Answer 1

Step-by-step explanation:

1..x=110/2. ( inscribed angle is half of central angle)

• 55°

2..given,

in triangle DFE

angleDFE=angle DAE ( inscribed angle on same arc are equal)

angle DFE=55°

angle EDF= angle FED (base angle of isosceles triangle r equal)

• z=z

now,

angle EDF+angleDFE+angle FED =180°{ sum of angle of triangle)

z+z+55=180°

2z=180-55

z=125/2

z=62.5°

3.. y=90°{ angle at circumference of circle by center is 90°}

hope it helps.

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