Question

What is measure angle C?

a) 77 b)48 c) 110 d) 180

Answer 1

i got 77

Answer 2

Im gonna say C 110 degrees

Answer 3

id go with 77 as well

Answer 4

@jim_thompson5910 can you explain this concept? :)

Answer 5

angle B is an inscribed angle that subtends (or cuts off) minor arc AC

by the inscribed angle theorem,

arc AC = 2*(angle B)

110 = 2*x

x = 110/2

x = 55

So angle B is 55 degrees

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now all 3 angles of the triangle must add to 180 degrees, which means...


Angle A + Angle B + Angle C = 180

48 + 55 + Angle C = 180

103 + Angle C = 180

Angle C = 180 - 103

Angle C = 77 degrees