The measure of arc FG and m∠ECF are 67 and 67 degrees respectively
- From the given circle geometry, the measure of the arc EF is equal to the angle subtended by the sector ECF. since chord EF is equal to DE.
- Since chord ED = chord EF, hence m∠DCE = m∠ECF = 67 degrees
- Similarly, arc FG = m∠FCG and since m∠ECF = m∠FCG, hence mFG = m∠FCG = 67 degrees.
Hence the measure of arc FG and m∠ECF are 67 and 67 degrees respectively.
Learn more on circle geometry here; https://brainly.com/question/22077295
