Question

‘O’ is the centre of the circle . Angle D= 80degree. Find the following: (a) Angle C (b) Angle ABC (c) Angle BAC (d) Angle F

Answer 1

Answer:

answer:- '0' is the centre of the circle.. angle d= 80° s ok.. then total right angle= 360° than , angle d= 80° , let s find angle c ,and angle abc, and bac and angle of F = ?

Step-by-step explanation:

then every angle is angle a=90° , ∆ b= 90° ,∆c= 90° , now let us find d= 80° ok then total are 360° now all are add it 90+90+90+80= 350° , let's find angle of F = 10 is the angle of F please mark me in brainlist

Answer 2

Given : O’ is the center of the circle . Angle D= 80degree.

To Find :  (a) Angle C

(b) Angle ABC

(c) Angle BAC

(d) Angle F

Solution:

Angle C  and Angle D , both are  in same sector by same arc AB

Hence ∠C = ∠D = 80°

O is center hence AOC is diameter

=> ∠ABC  = 90°

in ΔABC

∠ABC + ∠C +  ∠BAC  = 180°

=> 90° +  80° + ∠BAC  = 180°

=>  ∠BAC  = 10°

∠D + ∠F  = 180°    as AFBD is cyclic Quadrilateral

Hence 80° + ∠F  = 180°

=> ∠F  = 100°

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