Question

AC is the diameter of a
circle of AABC. Chord ed is parallel
to the diameter AC. if angle cbe
= 50°. then the mean
ZDEC is
​

Answer 1

Answer:

∠DEC=25°

Step-by-step explanation:

We are given ∠CBE = 65⁰, since, ∠CBE = ∠EAC=65⁰(Angles made on the same base)

and AC is the diameter of the circle⇒∠AEC=90°

Now, from ΔAEC, we have

∠AEC+∠EAC+∠ACE=180°(sum of all the angles of the triangle is 180°)

⇒90°+65°+∠ACE=180°

⇒∠ACE=180°-155°

⇒∠ACE=25°

Now, ∠ACE=∠DEC as they are alternate angles,

⇒∠ACE=∠DEC=