what is a in terms of b?

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

what is a in terms of b?

by BTGmoderatorLU » Sat Dec 30, 2017 6:26 am

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https://postimg.cc/image/x92qontel/ (zoom here)

In the triangle in the figure bellow, what is a in terms of b?

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

The OA is B.

I'm really confused with this PS question. Experts, any suggestion? Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Sat Dec 30, 2017 6:26 am

EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pm; Thanked: 180 times; Followed by:12 members

by EconomistGMATTutor » Sat Dec 30, 2017 2:04 pm

In the triangle in the figure bellow, what is a in terms of b?

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

The OA is B.

I'm really confused with this PS question. Experts, any suggestion? Thanks in advance.

Hi LUANDATO,
Let's take a look at your question.

If we look at the bigger triangle, the top angle is a+26.
Base angles are 60 and b.
Since, sum of all three angles of a triangle is 180 degrees, hence,
$$\left(a+26\right)+b+60=180$$
$$a+26+b+60=180$$
$$a+b+86=180$$
$$a+b=180-86$$
$$a+b=94$$
$$a=94-b$$

Therefore, option B is correct.

Hope it helps.
I am available if you'd like any follow up.

GMAT Prep From The Economist
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Aug 18, 2019 6:30 pm

BTGmoderatorLU wrote:

https://postimg.cc/image/x92qontel/ (zoom here)

In the triangle in the figure bellow, what is a in terms of b?

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

The OA is B.

I'm really confused with this PS question. Experts, any suggestion? Thanks in advance.