Chords DE, EF, and FG are congruent. Circle C is shown. Line segments C D, C E, C F, and C H are radii. Secants D E, E F, and F G are congruent. Angle H C D is 75 degrees, angle E C D is 67 degrees, and angle C F G is 56.5 degrees. Determine the following measures. mArc F G = ° m∠ECF = °

According with the figure:

m∠DCE=67°, then measurement of arc DE=67°

If chords DE and FG are congruent, then the arcs DE and FG are congruents too, and the measurement of the arc FG is equal to the measurement of the arc DE of 67°

Answer: Measurement of arc FG is 67°

If chords DE and EF are congruent, then the angles DCE and ECF are congruents too, and m∠ECF is equal to the m∠DCE of 67°

Answer: m∠ECF=67°