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11 Feb 2019, 02:04
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
96% (01:06) correct
4%
(02:28)
wrong
based on 152
sessions
History
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Not Attempted Yet
In the preceding figure, line SA is parallel to line TB. If the measure of BTU is 60 degrees, what is the measure of ATB?
(A) 30
(B) 40
(C) 50
(D) 60
(E) 80
Attachment:
2019-02-11_1302.png [ 15.75 KiB | Viewed 4312 times ]
11 Feb 2019, 14:25
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Bunuel
Let x = ∠ATB
Since SA || TB, we know that ∠SAT is also x°
Since angles on a line add to 180°, we know that ∠ATS = (120 - x)°
Aside: Notice that (120 - x)° + x° + 60° = 180°
Since ∆SAT is an ISOSCELES triangle, ∠AST = (120 - x)°
Finally, all angles in the green triangle must add to 180°
So, we can write: x° + (120 - x)° + (120 - x)° = 180°
Simplify: 240° - x° = 180°
Solve: x = 60°
Answer: D
Cheers,
Brent
General Discussion
11 Feb 2019, 06:57
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SA || TB.
Then Angle BTU = Angle AST = 60.
As AS and AT are equal. Angle ATB = 180-60-60 = 60
D is the answer.
Then Angle BTU = Angle AST = 60.
As AS and AT are equal. Angle ATB = 180-60-60 = 60
D is the answer.
