Question

Help I’m almost out of time

Answer 1

Answer: First option.

Explanation:

You can idenfity in the figure that
`\angle FCE` is formed by two secants that intersect outside of the given circle.

It is important to remember that, by definition:

`Angle\ formed\ by\ two\ Secants=(1)/(2)( Difference\ of\ intercepted\ Arcs)`

Knowing this, you can set up the following equation:

`m\angle FCE=(1)/(2)(BD-FE)`

Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle
`\angle FCE`.

This is:

`m\angle FCE=(1)/(2)(112\°-38\°)\\\\m\angle FCE=37\°`