IN THE DIAGRAM the measures of <2,<3 and <6 are 40 THE measure of <1 is 140 . Are lines c & d parallel
Answers
Step-by-step explanation:
the answer is D
Yes, the lines are parallel.
What are parallel lines?Parallel lines are coplanar straight lines that do not intersect at any point.
We have,
Line [tex]c[/tex] and [tex]d[/tex], and transversal [tex]e[/tex].
[tex]\angle 2 =\angle 3=\angle6=40^0[/tex],
And, [tex]\angle 1=140^0[/tex]
Now,
[tex]\angle 1=\angle4=140^0[/tex] (Vertically Opposite Angles)
So,
When a transversal line cuts two lines and sum of angles on the same side of the line is [tex]180^0[/tex] .
i.e. [tex]\angle6+\angle4=180^0[/tex]
[tex]140^0+40^0=180^0[/tex]
[tex]180^0=180^0[/tex]
So, sum of [tex]\angle6\ and\ \angle4[/tex] is [tex]180^0[/tex], that means line are parallel.
Hence, we can say that Yes, the lines are parallel.
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The question is incomplete. The actual question is
Triangle ABC is symmetric about the y-axis. Point A is located at (-3,0), and AB is the longest side of ABC. If the perimeter of ABC is 16, what is the area?
What is symmetry?Symmetrical forms or figures are things that can have a line drawn through them so that the representations on both sides of the line mirror each other.
How to solve the problem?As could be seen in the figure the triangle △ABC is symmetric along the y-axis. Hence, the side AC and BC must be of the same length let us call it 'a'. Also, the coordinate of B must be (3,0) because (3,0) is the reflection of (-3,0) corresponding to the y-axis.
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