Question

Assume that lines

that
appear to be
tangent are tangent.
Find the value of b,
c, and d.
36
108°
dº
I
a) b = 36, c = 180, d = 90
b) b = 72, c = 180, d= 90
c) b = 36, c = 90, d = 180
d) b = 72, c = 180, d = 180
e) b = 18, c = 180, d = 90
go to (4.7)
go to (5,-2)
go to (-5, 1)
go to (8,4)
go to (-4,2)

Answer 1

The answer would be B,
let me know if you need explanation why

Answer 2

b

Explanation:

The inscribed angle 36°m is half the measure of its intercepted arc, that is

b = 2 × 36 = 72

c = 360 - (108 + 72) = 360 - 180 = 180 ( total sum of arcs in a circle )

The angle between a tangent and the radius of a circle at the point of contact is 90° , then

d = 90

Thus b = 72, c = 180, d = 90 → b