Find <BDC. (no lines are parallel)​

35 degrees

Step-by-step explanation:

180-55-55=70

180-70=110

180-110=70

70/2=35

Property: All straight lines from the centre of a circle are the same length, hence the triangles are isoceles.

Explanation:

Inscribed angle ABC = 55 subtends the minor arc AC which is 110 degrees (use the inscribed angle theorem).

The inscribed angle BDC subtends the minor arc CB, which we'll call x for now.

The two minor arcs (AC and CB) combine to form the arc ACB. Note how this is a semicircle since AB is a diameter. For any semicircle, the arc measure is 180 degrees.

So,

(arc AC) + (arc CB) = arc ACB

110 + x = 180

x = 180-110

x = 70

This cuts in half to 35 which is the inscribed angle BDC, again we're using the inscribed angle theorem here.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

c

step-by-step explanation: