geometry - Proving similar triangles within a trapezoid - Mathematics Stack Exchange


abcs trapezoid, , eq , fp bisectors of these trapezoid arms.

i prove angle cqb equal angle apd.

trapezoid

i tried show similarity between triangles cqb , apd, because both of them isosceles. if show similarity exists, angle cqb equal angle apd. however, don't know how show these triangles similar.

you have prove minor base of trapezoid , vertices of isosceles triangles on same circle , major base , vertices of isosceles triangles on circle. angles in green equal , angle in pink equal sum of green , pink equal , 2 angles of isosceles triangles equal

enter image description here


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