Plz me asap! you! quadrilateral cdef is inscribed in a circle a. if the m angle c = 7x + 11° and m angle e = 6x°, what is the measure of angle e?
78°
85°
95°
102°

E = 78°.

Step-by-step explanation:

One of the properties of the circles is that if there is a quadrilateral whose all corners lie on the circumference of the same circle, then the opposite angles of the quadrilateral are supplementary i.e. they sum up to 180°. In the quadrilateral CDEF, angles C and E are opposite angles. Since CDEF is inscribed in a circle, therefore their sum is 180°. Therefore:

Angle C + Angle E = 180°.

7x° + 11° + 6x° = 180°.

13x° = 169°.

x° = 13°.

Since E = 6x°, therefore E = 6(13°) = 78°.

Therefore, angle E measures 78 degrees!!!

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