Question

"Quadrilateral BCDE is inscribed in circle A as shown in the picture.
What is m∠E? "

Answer 1

96 Degrees.You need to find the length of the arcs outside by multiplying the inside angles by 2. That number must go with the arcs that are enclosed.

Answer 2

BCDE is inscribed quadrilateral. The opposite angles of quadrilateral add up to 180°:
m∠E = 180° - 84°
m∠E = 96°