Answer:
∠ACE = 40°
Step-by-step explanation:
Refer the attached figure .
Since we know that sum of measures of all arcs is 360°
arc AE + arc AB +arc BD +arc DE = 360°
arc AE+ 252°=360°
arc AE=360°
-252°
arc AE=108°
Now to find the ∠ACE , we will use the theorem.
Theorem : If two secants intersect to form the vertex of an angle outside a circle and the sides of the angle intercept arcs on the circle,then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle.
For∠ACE
The arcs intercepted by the sides of the angle.: arc AE =108° and arc BD=28°
So, by theorem :




Hence the measure of ∠ACE is 40°