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14 Jun 2021, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:45) correct
24%
(01:42)
wrong
based on 59
sessions
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Not Attempted Yet
In the regular hexagon above, what is x?
A. 100°
B. 108°
C. 120°
D. 135°
E. 144°
Attachment:
1.png [ 4.26 KiB | Viewed 2002 times ]
14 Jun 2021, 02:59
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Important facts to know:
1) For the hexagon, each vertex has an angle of 120 degrees.
2) For two lines intersecting at a point, opposing sides of a point will add be equal.
3) Sum of angles in a triangle = 180 degrees
Let's take the triangle formed from the line creating an isosceles on the top left corner of the hexagon.
This line bisects the hexagon into one isosceles triangle and an irregular pentagon.
We know that the two angles in an isosceles are equal and that the angle from the hexagon is 120 degrees. Hence, the isosceles has an angle of 30 degrees at its base.
Now, take the triangle formed from the two intersecting lines making the top of the triangle the base. We know that the triangle formed by this will be isosceles because we're dealing with a regular hexagon.
This leads the angle opposite to the base to be 120 degrees.
Using rule 2, this leads X to also be 120 degrees.
Hence, the answer is C.
1) For the hexagon, each vertex has an angle of 120 degrees.
2) For two lines intersecting at a point, opposing sides of a point will add be equal.
3) Sum of angles in a triangle = 180 degrees
Let's take the triangle formed from the line creating an isosceles on the top left corner of the hexagon.
This line bisects the hexagon into one isosceles triangle and an irregular pentagon.
We know that the two angles in an isosceles are equal and that the angle from the hexagon is 120 degrees. Hence, the isosceles has an angle of 30 degrees at its base.
Now, take the triangle formed from the two intersecting lines making the top of the triangle the base. We know that the triangle formed by this will be isosceles because we're dealing with a regular hexagon.
This leads the angle opposite to the base to be 120 degrees.
Using rule 2, this leads X to also be 120 degrees.
Hence, the answer is C.
14 Jun 2021, 04:28
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Each angle in Regular hexagon is 120 degrees
Equal angles in isosceles triangles are 30 degrees and angle x is 180-30-30 = 120
Option C is the correct choice.
Equal angles in isosceles triangles are 30 degrees and angle x is 180-30-30 = 120
Option C is the correct choice.
Bunuel
