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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Answer:
The point-slope form of the line is:
Hence, option B is correct.
Step-by-step explanation:
We know the point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
Given
The slope m = 4
From the graph, we can take the point (-3, -4)
So, in our case:
(x₁, y₁) = (-3, -4)
m = 4
now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation
Therefore, the point-slope form of the line is:
Hence, option B is correct.
- The graph of the line is also attached.
