Question

AC and BD are diameters of E. AB = CD and


`m <aeb = {100}^(o)`
1. Find the measurement of each of the following:
A.m<BEC
B.m<CED
C.m<DEA
2. Identify the intercepted arc of each of the following angles.
A.<DEA
B.<CED
C.<DEA​

Answer 1

Given below.

Explanation:

1)

if m∠AEB = 100°

then,

a. we can find ∠ABE = (180-100)/2 = 40°

then find ∠EBC = 90° - 40° = 50°

then m∠BEC = 180° - 50° * 2 = 80°

b. m∠BEC and m∠DEA are parallel with same angles. so,

∠DEA = 80°

c. m∠AEB and m∠CED are parallel with same angles. so,

m∠CED = 100°