Answer
$R_{eq}=32.5\Omega$
Work Step by Step
First, find the equivalent resistance of the top two resistors in series. This is done using the fact that $$R_{eq,series}=\sum R_i$$ Therefore, $R_{eq}=35\Omega+82\Omega=117\Omega$ To find the equivalent resistance of two resistors in parallel, use the formula that $$\frac{1}{R_{eq,parallel}}=\sum \frac{1}{R_i}$$ Therefore, the equivalent resistance is equal to $$\frac{1}{R_{eq,parallel}}=\frac{1}{117\Omega}+\frac{1}{45\Omega}=\frac{1}{32.5\Omega}$$ $$R_{eq}=32.5\Omega$$
