Answer: The measure of angle B is 145°.
Step-by-step explanation:
Since we have given that
\(m\angle C=35^\circ\)
As we know that p and q are parallel lines, and r is the transversal.
So, m∠B and m∠C are linear pair.
According to question, it becomes,
\(\angle B+35^\circ+180^\circ\\\\\angle B=180^\circ -35^\circ\\\\\angle B=145^\circ\)
Hence, the measure of angle B is 145°.
