Question

Given that lines a and b are parallel and that m∠6 = 65°, find m∠3.

Answer 1

Answer:  The correct option is (B) 65°.

Step-by-step explanation:  Given that  the lines a and b are parallel and m∠6 = 65°.

We are to find the measure of angle 3.

From the figure, we note that

parallel lines a and b are cut by a tranversal. So, angle 2 and angle 6 are corresponding angles.

This implies that

$m\angle 2=m\angle 6=65^\circ.$

Now, angle 2 and angle 3 are vertically opposite angles and so their measures should be equal.

That is,

$m\angle 3=m\angle 2=65^\circ.$

Thus, the measure of angle 3 is 65°.

Option (B) is CORRECT.

Answer 2

The answer is 65 degrees or B