Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem B. 4779. (March 2016)

B. 4779. The two points dividing side $\displaystyle AB$ of triangle $\displaystyle ABC$ into three equal parts, and the two points dividing side $\displaystyle BC$ in a 1 to 3 ratio form a cyclic quadrilateral. The circumscribed circle of the quadrilateral is tangent to side $\displaystyle CA$. Determine the angles of triangle $\displaystyle ABC$.

(4 pont)

Deadline expired on April 11, 2016.

### Statistics:

 78 students sent a solution. 4 points: 61 students. 3 points: 8 students. 2 points: 4 students. 1 point: 3 students. 0 point: 2 students.

Problems in Mathematics of KöMaL, March 2016