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Re: In the figure above, what is the value of x?
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13 May 2011, 19:21
one side = 5
other side = 5
So x = (180 - 110) = 70
Answer - D
@meliha, sides opposite to equal angles are equal, so they are equal (opposite to 55 degrees angle), but we don't know yet about x, so we can't assume x is equal to another angle.
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Re: In the figure above, what is the value of x?
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14 May 2011, 07:10
Looked up properties of isoceles triangle last night (after posting my question) and discovered answer to my own question. My understanding is that side the left and right sides are equal (both = 5), then that means the left and right bottom angles are also equal (property of isoc tri), which means that there must be 2 55 deg angles (instead of 2 other sized angles + 55.
55 + 55 + x = 180 x = 180 - 110 x = 70
Got it now, thanks.
Soooo many equations and formulas to memorize/remember...
Re: In the figure above, what is the value of x?
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20 Jan 2015, 12:24
In this question, there are two "Pythagoras triplets" involved. 3-4-5 and 5-12-13 Looking at the dimensions of two right triangles, we can conclude that both the arms of angle "x" are of 5 units of length!
Thus it is an isoseles triangle. So other angle is same as 55 degrees Thus, x = 180-55-55 = 70 degrees!
Re: In the figure above, what is the value of x?
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20 Nov 2017, 11:23
Jozu wrote:
Attachment:
untitled.JPG
In the figure above, what is the value of x?
(A) 55 (B) 60 (C) 65 (D) 70 (E) 75
We see that the right triangle on the left is a 3-4-5 right triangle, and the right triangle on the right is a 5-12-13 right triangle. Thus, the middle triangle has two sides equal to 5. Since one of those sides is opposite a 55-degree angle, the other side must also be opposite a 55-degree angle. Thus, x is:
180 - (55 + 55) = 70.
Answer: D
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90% (01:15) correct 
