In the accompanying pentgon ABCDE is inscribed in circle o, chords EC and DB intersect at F, chord DB is entended to G and tangent GA is drawn.
Find:
mBDE
mBFC
mAGD
To solve this probelm, you must remember how to find the meaure of the interior angles of a regular polygon. In the case of a pentagon, the interior angles have a measure of (5-2) •180/5 = 108 °. Therefore, each inscribed angle creates an arc of 216°