Question

1. Angle C is an inscribed angle of circle P. Angle C measures (3x + 5)° and arc AB measures (16x)°. Find x.

2.Circles M and K are congruent and QR is congruent to LN. Find QR.

Answer 1

The inscribed angle = 1/2(the intercepted arc)

Answer 2

For the second one I have no idea what QR and LN represent so can't help with that one.

Answer 3

@Mertsj thanks but I still don't get it

Answer 4

For #2, if they are congruent, then it means they are equal.

Answer 5

\[\huge QR≅LN\]\[\huge 5x=3x+54\]

Answer 6

Once you solve for x, plug that number in the x of QR.

Answer 7

@mathway okay I tried to plug it in this is how I did it