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In the diagram above, if AB = AD = BD = DC, then x =
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08 Dec 2021, 10:00
08 Dec 2021, 10:00
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In the diagram above, if AB = AD = BD = DC, then x =
A. 30
B. 35
C. 40
D. 45
E. 60
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the diagram above, if AB = AD = BD = DC, then x =
[#permalink]
08 Dec 2021, 11:07
08 Dec 2021, 11:07
Carcass wrote:
In the diagram above, if AB = AD = BD = DC, then x =
A. 30
B. 35
C. 40
D. 45
E. 60
First, if AB = AD = BD, then ABD is an EQUILATERAL triangle, which means all angles are 60 degrees
Next, since angles on a straight line must add to 180°, we know that angle BDC = 120 degrees
Finally, if BD = DC, then triangle BDC is ISOSCELES, which means angle DBC = x degrees
Since angles in a triangle must add to 180 degrees, we can write: x + x + 120 = 180
Simplify: 2x + 120 = 180
Solve: x = 30
Answer: A
gmatclubot
Re: In the diagram above, if AB = AD = BD = DC, then x = [#permalink]
08 Dec 2021, 11:07
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