Given that lines a and b are parallel and that m∠6 = 65°, find m∠3.
2 answers:
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
Now, angle 2 and angle 3 are vertically opposite angles and so their measures should be equal.
That is,
Thus, the measure of angle 3 is 65°.
Option (B) is CORRECT.
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In general
Given
y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction
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Consider corresponding points on the 2 graphs
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