Question

Inscribed angle question (with arc measures)

Answer 1

we know that angle BDC is 40 degrees

we can use this to find arc BC using the inscribed angle theorem

2*(angle BDC) = arc BC
2*40 = arc BC
arc BC = 80 degrees

Answer 2

(arc AB) + (arc BC) + (arc CD) + (arc AD) = 360
120 + 80 + 110 + x = 360

solve for x to get x = ???

Answer 3

so x = 1.161 approx?

Answer 4

wait i"m confused so would that be the measure of measure 1?

Answer 5

120 + 80 + 110 + x = 360

310 + x = 360

x = 360 - 310

x = 50 degrees

Answer 6

so arc AD is 50 degrees

Answer 7

omg sorry i did it wrong

Answer 8

i divided instead of subtracted

Answer 9

use the inscribed angle theorem to get

angle 1 = (1/2)*(arc AD)
angle 1 = (1/2)*(50)
angle 1 = 25 degrees

Answer 10

ohhhhh okay that makes sense now. thank you so much I appreciate it!

Answer 11

if you don't mind, would you help me figure out this one?

Answer 12

what is angle BAC? are you able to determine that value?