Given: mAB = 94°, mDA = 114° , mBC = 132°. Find the following in degrees. (a) m∠3 (∠AFB), (b) m∠4 (∠DEC), (c) m∠5 (∠CEB)

Question

Consider the following figure.

Find the following in degrees.

(a) m∠3 (∠AFB),

(b) m∠4 (∠DEC),

(c) m∠5 (∠CEB)

Given:  mAB = 94°, mDA = 114° , mBC = 132°

Answer 1

You need to look up and understand about the measurement of angles in circles.

An inscribed angle is measured by 1/2 of its intercepted arc.

The angle between 2 secants is measured by 1/2 the difference of its intercepted arcs.

Those 2 theorems are all you need to know to answer this question....along with a little arithmetic.