The vertex angle of an isosceles is p degrees. How many degrees are there GMAT Problem-Solving

Question: The vertex angle of an isosceles is p degrees. How many degrees are there in one of the base angles?

A. 180 - p
B. 90 - p
C. 180 - 2p
D. 180 - p/2
E. 90 - p/2

Answer: E

Solution and Explanation:

Approach Solution 1:
To answer this GMAT question, apply the data provided in the question. These issues pertain to many different branches of mathematics. This query relates to basic mathematics. Because of how the options are set up, it is hard to choose the best one. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.
Since the necessary math is simple, we'll just complete it.
This method is precise.
The other two angles (the base angles), since the vertex degree is p, add up to 180 - p.
An isosceles triangle's base angles are equal, hence each equals (180 - p)/2 = 90 - p/2.
Correct option: E

Approach Solution 2:
To answer this GMAT question, apply the data provided in the question. These issues pertain to many different branches of mathematics. This query relates to basic mathematics. It is challenging to choose the best option due to the way the options are presented. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.
Given that an isosceles triangle's base angles are equal, we may set up the equation by setting b = the triangle's base angle measurement.
2b + p = 180
2b = 180 - p
b = (180 - p)/2
b = 90 - p/2
Correct option: E

Approach Solution 3:
An isosceles triangle has two equal angles and two equal sides. Let's call the measure of each base angle x.
Since the sum of the angles in a triangle is 180 degrees, we know that:
p + x + x = 180
Simplifying this equation, we get:
2x + p = 180
Subtracting p from both sides, we get:
2x = 180 - p
Dividing both sides by 2, we get:
x = (180 - p)/2
So each base angle measures (180 - p)/2 degrees.
Correct option: E

“The vertex angle of an isosceles is p degrees. How many degrees are th" - 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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