Question

answer
$d=square^{circ}$ $e = square^{circ}$ $f=square^{circ}$
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Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(d\) and the \(102^{\circ}\) angle are vertical angles, so \(d = 102^{\circ}\).

Step2: Use linear - pair property

The \(36^{\circ}\) angle and \(e\) form a linear - pair. A linear - pair of angles sums to \(180^{\circ}\). So \(e=180 - 36=144^{\circ}\).

Step3: Use vertical - angle property again

Angle \(f\) and the \(36^{\circ}\) angle are vertical angles, so \(f = 36^{\circ}\).

Answer:

\(d = 102\)
\(e = 144\)
\(f = 36\)