Question

if angle b measures 100 degrees, what is the measure of angle c? degrees question help: message instructor calculator

Explanation:

Step1: Recall property of parallelogram

Adjacent angles of a parallelogram are supplementary (sum to 180 degrees). Angle $b$ and angle $c$ are adjacent.

Step2: Set up equation

Let the measure of angle $c$ be $x$. We have $b + x=180$. Given $b = 100$, so $100+x = 180$.

Step3: Solve for $x$

Subtract 100 from both sides: $x=180 - 100$.
$x = 80$

Answer:

80