Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
What is the Inscribed Angle Theorem?
The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.
Given the following:
- Inscribed angle = ∠EAB
- Intercepted arc = ADB = 162°
We would therefore have the following:
1/2(ADB) = m∠EAB
Substitute
1/2(162) = m∠EAB
m∠EAB = 81°
Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
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