Question

n the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle B if the measure of angle C is 35°?

Answer 1

180-35= 145 so 145° is your answer

Answer 2

Answer: The measure of angle B is 145°.

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°.