Question

determine m∠cpx make sure to reset the tool before determining this measu
rotate overleftrightarrow{ab} to create ∠xpb that measures 120°.
hint
ray pc can be rotated 20 degrees to 0 degrees and then 60 more degrees to line
up with ray pa.
you can add 20 + 60 to determine the measure of ∠cpa.
)at measures 20°.

in the explore tool to rotate the lines to the correct p
e of each angle. the correct measure of each angle w
\begin{tabular}{|c|c|c|c|}
hline
$mangle bpc$ & $mangle dpa$ & $mangle cpa$ & $mangle bpd$ \\
hline
$100^{circ}$ & $100^{circ}$ & $20^{circ}$ & $^{circ}$ \\
hline
end{tabular}
determine the sum.

Explanation:

Step1: Analyze the hint

The hint says ray \( PC \) is rotated 20 degrees to 0 degrees and then 60 more degrees to line up with \( PA \). So we add these two angles.
\( 20^{\circ}+ 60^{\circ}\)

Step2: Calculate the sum

\( 20 + 60 = 80 \), so \( m\angle CPA=80^{\circ}\)

Answer:

\( 80^{\circ} \)