Question

if ∠k and ∠b are supplementary and m∠b = 128°, solve for m∠k.

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, $m\angle k+m\angle b = 180^{\circ}$.

Step2: Solve for $m\angle k$

We know $m\angle b = 128^{\circ}$, then $m\angle k=180^{\circ}-m\angle b$.
Substitute $m\angle b = 128^{\circ}$ into the equation: $m\angle k = 180 - 128$.
$m\angle k=52^{\circ}$.

Answer:

$52^{\circ}$