MathDB

Congruent angles

Source: Romanian District Olympiad 2014, Grade 6, P3

June 15, 2014

geometryincentergeometry proposed

Problem Statement

The points

M, N,

and

P

are chosen on the sides

BC, CA

and

AB

of the

\Delta ABC

such that

I

and

CM=CN

. The perpendicular dropped from

B

to

MP

and the perpendicular dropped from

C

to

MN

intersect at

I

. Prove that the angles

\measuredangle{IPA}

and

\measuredangle{INC}

are congruent.

Back to Problems View on AoPS