Question

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

A) 40°
B) 65°
C) 115°
D) 135°

Answer 1

The answer is 65 degrees or B

Answer 2

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.