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3 years ago

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

Mathematics

2 answers:

Luba_88 [7]3 years ago

6 0

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.

tangare [24]3 years ago

3 0

The answer is 65 degrees or B

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