Categories
Beginner

Kite on the moon

A green kite BDHA shares the vertices D, H with a circle (DHJL). DA intersects the circle in the points D and J. The side HA, extended, meets the circle at L. Show that the angle between LJ and BD is the same as between AD and AH: is η = ε?

Categories
Beginner

Kite cuts

An encircled kite CFDE, and a chord FG intersecting the kite diagonal CD in H. Show that the circle (CGH) is half inside the kite and half outside.