Question:  Two adjacent angles of a parallelogram are in the ratio of 2:3. What is the average angle measure of these two angles?

1. 30.
2. 40.
3. 45.
4. 90.
5. 180.

Answer: D
Solution and Explanation:
Approach Solution 1:

It is given in the question that two adjacent angles of a parallelogram are in the ratio of 2:3. It has asked to find out the average angle measure of these two angles.
The total of the angles in a parallelogram equals 360 degrees
Let angles be in ratio. 2x: 3x

Therefore the total sum of angles = 2x * 2 + 3x * 2 = 10x
10x = 360
x = 36
Now, the average of 2x and 3x is (2*36+3*36) / 2 = 90

Approach Solution 2:

Shortcut:
It is given in the question that two adjacent angles of a parallelogram are in the ratio of 2:3. It has asked to find out the average angle measure of these two angles.
The sum of the measurements of the adjacent angles of a parallelogram is 180 degrees.
So, the average will be 90, and the answer must be D.

“Two adjacent angles of a parallelogram are in the ratio of 2:3. What" - 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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