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.
You might be interested in
Answer:
a(n)=1.15[a(n-1)]
Step-by-step explanation:
we know that
Let
a0 -----> the length of the original copy
<em>The first copy is equal to</em>
a1=1.15(a0)
<em>The second copy is </em>
a2=1.15[1.15(a0)] or a2=1.15[a1]
<em>The third copy is</em>
a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]
therefore
A recursive formula will be
a(n)=1.15[a(n-1)]
To start, the equation has to be converted to slope-intercept form, or . Start by subtracting x from both sides;
,
. Switch 4 and -x around to conform to the formula;
. Then divide by 2 to isolate y;
. This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is
, the opposite reciprocal of
is 5) the opposite reciprocal of
is 2. So the equation of the line is
, and the answer is A.