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;
[tex]\angle E=\frac{1}{2}(m \widehat{DF})[/tex]
Substituting [tex]m \widehat{DF}=162^{\circ}[/tex], we get;
[tex]\angle E=\frac{1}{2}(162^{\circ})[/tex]
Dividing, we get;
[tex]\angle E=81^{\circ}[/tex]
Thus, the measure of ∠E is 81°
