Question

Solve the following problems. Given: AB ≅ BC and AE = 10 in, m∠FEC = 90° m∠ABC = 130°30' Find: m∠EBC, AC http://homework.russianschool.com/resource?key=00j0d

Answer 1

Because BA ≅ BC, we know the triangle is isosceles. Because ∠FEC=90°, we know BE is a median and angle bisector of ∠ABC.

Hence ...

... AC = 2×AE = 20 in

... ∠EBC = (1/2)×∠ABC = 65°15'