MathDB
equal angles inside trapezoid lead to equal segments (HOMC 2016 Junior Q12)

Source:

July 20, 2019
geometrytrapezoidequal segmentsequal angles

Problem Statement

In the trapezoid ABCD,AB//CDABCD, AB // CD and the diagonals intersect at OO. The points P,QP, Q are on AD,BCAD, BC respectively such that ∠APB=∠CPD\angle AP B = \angle CP D and ∠AQB=∠CQD\angle AQB = \angle CQD. Show that OP=OQOP = OQ.
Back to ProblemsView on AoPS