Question: Alfa, Beta and Gamma are inner angles in a triangle. If Alfa = Beta + Gamma, what can't be the size of Beta?

1. 44 degrees.
2. 45 degrees.
3. 89 degrees.
4. 90 degrees.
5. There isn't enough data to determine.

Answer: D
Solution and Explanation:
Approach Solution 1:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from circles.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is
accurate.
Given in the question that in a triangle, the interior angles are alpha, beta, and gamma. It has asked that what is there that Beta's size cannot be if Alfa = Beta + Gamma.
Given that Alfa = Beta + Gamma, and that Alfa, Beta, and Gamma are inner angles in a triangle. Thus Alfa + Beta + Gamma = 180
Beta + Gamma + Beta + Gamma = 180
=> 2(Beta + Gamma) = 180
=> Beta + Gamma = 90.
Thus, beta will be less than 90.
D is the correct answer.

Approach Solution 2:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from circles.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
As stated in the question, in a triangle, the interior angles are alpha, beta, and gamma. It has asked that what is there that Beta's size cannot be if Alfa = Beta + Gamma.
a + b + c = 180
We also know that a = b + c.
Consequently, (b + c) = 180.
Or, 2 (b + c) = 180
Or, (b + c) = 90
If a + b + c = 180, then a = 90.
B can never be 90 since (b + c) = 90, where b/c can take any values between 1 and 89.
D is the correct answer.

Approach Solution 3:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from circles.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
As stated in the question, in a triangle, the interior angles are alpha, beta, and gamma. It has asked that what is there that Beta's size cannot be if Alfa = Beta + Gamma.
Alfa = Beta + Gamma => A = B + G
B+G = 90, Hence, B cannot be 90.
D is the correct answer.

“Alfa, Beta and Gamma are inner angles in a triangle. If Alfa = Beta +" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.
To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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