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Identify the angle E₁ as AEB.

April 21, 2026Mathematics

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Identify the angle $\angle E_1$ as $\angle AEB$ .
Apply the Alternate Segment Theorem.
The angle between the tangent $GBH$ and the chord $AB$ is $\angle GBA = \angle B_1$ . This angle is equal to the angle in the alternate segment, which is $\angle AEB$ . $\angle E_1 = \angle AEB = \angle B_1$
Substitute the given value $\angle B_1 = 68^\circ$ .
$$ \angle E_1 = 68^\circ $$ $\boxed

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