Question

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Answer 1

Given:

Given that the measure of arc DF is 162°

We need to determine the measure of ∠E

Measure of ∠E:

The measure of ∠E can be determined using the inscribed angle theorem.

Thus, by inscribed angle theorem, we have;

$\angle E=\frac{1}{2}(m \widehat{DF})$

Substituting $m \widehat{DF}=162^{\circ}$, we get;

$\angle E=\frac{1}{2}(162^{\circ})$

Dividing, we get;

$\angle E=81^{\circ}$

Thus, the measure of ∠E is 81°