Based on the circle theorems, the measures in circle E are:
m(AB) = 40°
m∠AEB = 40°
m∠ACB = 40°
m(ADB) = 320°
What are the Circle Theorems?
The theorems are:
- Measure of the central angle = measure of intercepted arc
- Measure of inscribed angle =1/2( measure of intercepted arc)
- Measure of inscribed angles with same intercepted arcs are congruent.
Using the circle theorems, given the inscribed angle, m∠ADB = 20°, we have:
m(AB) = 2(m∠ADB) = 2(20) = 40°
m∠AEB = m(AB) = 40°
m∠ACB = m∠AEB = m(AB) = 40°
m(ADB) = 360° - 40° = 320°
Learn more about the circle theorems on:
https://brainly.com/question/26403793
#SPJ1
