A a 53 B b 106 C c 73 D d 37 d 53 SolutionAnswer is C c

A. a = 53

B. b = 106

C. c = 73

D. d = 37

Solution

Answer is

C. c = 73

In the given figure b+c angles shuld be equal to 180 degrees since it is an angle on the straight line,

since b=106 then c shuld be 74,

or it can be calculated by saying if the angle at the center and that at the edge share the same arc then the angle at the center is twice the angle at the edge of the circle, from this
it can be said that c=2*d
there fore the angle facing the semicircle= 90 degrees( d+53=90)
so d= 37
from c=2*d
c=2*37
c=74

So, c = 73 statement is NOT true .