Answer:
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!!!
Answer: 78°
Step-by-step explanation:
First let’s solve for x
7x + 11 + 6x = 180°
13x + 11 = 180°
13x = 169
x = 13
plug in x in the equation 6x to solve for angle E
6(13) = 78°
that’s your answer :)
