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)

b

Step-by-step 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

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.