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505-555 Level|   Geometry|      
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Bunuel
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In the triangle in the figure below, what is a in terms of b? (A) b + 12 Jan 2015, 11:09
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

86% (01:10) correct 14% (01:15) wrong based on 49 sessions

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Attachment:
2015-01-12_2208.png
2015-01-12_2208.png [ 7.98 KiB | Viewed 2512 times ]
In the triangle in the figure below, what is a in terms of b?

(A) b + 94
(B) 94 – b
(C) b – 94
(D) 70 – b
(E) 70 + b
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B
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littlewarthog
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In the triangle in the figure below, what is a in terms of b? (A) b + 12 Jan 2015, 11:33
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The missing angle in the right triangle is 180 - b - 26 = 154 - b, because the sum of all angles in a triangle must be 180.
Therefore, the missing angle in the left triangle is 180 - (154- b) = 26 + b because two angles on the same line must add up to 180.

With that we can calculate a: 180 - 60 - (26 + b) = 94 - b

Answer B.
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In the triangle in the figure below, what is a in terms of b? (A) b + 12 Jan 2015, 12:33
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sum of external angle of a side = sum of two internal opposite angles.

therefore, 180 - b = 60 + a + 26

leading to => a= 94-b

Ans - b
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In the triangle in the figure below, what is a in terms of b? (A) b + 14 Jan 2015, 00:20
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Answer = (B) 94 – b

Sum of all angles of triangle = 180

60+b+a+26 = 180

a = 94 - b
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In the triangle in the figure below, what is a in terms of b? (A) b + 19 Jan 2015, 02:24
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Bunuel
Attachment:
2015-01-12_2208.png
In the triangle in the figure below, what is a in terms of b?

(A) b + 94
(B) 94 – b
(C) b – 94
(D) 70 – b
(E) 70 + b

OFFICIAL SOLUTION:

Knowing that the two unlabeled angles in each triangle are supplementary (add up to 180 degrees) helps you solve for “a in terms of b,” as does knowing that the three angles of a triangle always add up to 180 degrees.

Solving for “a in terms of b” means that you find out what a equals without finding a definitive value for b.

The value of the unlabeled angle in the left triangle is equal to 180 – 60 – a, or 120 – a. The value of the unlabeled angle in the right triangle is 180 – 26 – b, or 154 – b. Set up an equation that adds the two values to equal 180 and solve for “a in terms of b”:

(120 – a) + (154 – b) = 180
274 – a – b = 180
94 – a – b = 0
94 – b = a

The answer is B.
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In the triangle in the figure below, what is a in terms of b? (A) b + 12 Nov 2019, 23:42
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