1. ## geometry

mathcounts notes: 2013 Mathcounts State Prep : Angle Bisect and Trisect Questions
(second picture featuring 2 angle bisectors.)

How many integer values can "c" assume?

Answer is 59.But I could find the answer as 44.I used the formula a/2+90=b...etc.

2. ## Re: geometry

Originally Posted by kastamonu
mathcounts notes: 2013 Mathcounts State Prep : Angle Bisect and Trisect Questions
(second picture featuring 2 angle bisectors.)

How many integer values can "c" assume?

Answer is 59.But I could find the answer as 44.I used the formula a/2+90=b...etc.
Solving it you get

$a=3c-360$

$b=2c-180$

and that puts c in the range

$120 < c < 180$

since 0< a,b < 180

so c can take 121-179 which is 59 different integer values.

Many Thanks