Question

angle measures formed by transversals. the measure of ∠bcq can be calculated. the measure of ∠bcq is. because ∠bcq and ∠qcj are

Explanation:

Step1: Identify angle - relationship

$\angle BCQ$ and $\angle QCJ$ are supplementary angles (linear - pair of angles).

Step2: Recall the property of supplementary angles

The sum of supplementary angles is $180^{\circ}$. Given $\angle QCJ = 63^{\circ}$.

Step3: Calculate $\angle BCQ$

$\angle BCQ=180^{\circ}-\angle QCJ = 180 - 63=117^{\circ}$

Answer:

$117$; supplementary angles