ExplanationThe first part of each ratio represents 45 degrees.

For choice(A), the multiplier will be 45 divided by 2, or 22.5. The ratio adds up to 8 (2 + 3 + 3), so check that 8 × 22.5 = 180. It does, so choice (A) works.

For choice (B), based on 3 representing 45 degrees, the multiplier is 15. The ratio adds up to 12, and 12 × 15 = 180, so this choice works as well.

Using this approach,

choice (C) does not work: The multiplier is again 15, but 15 × 15 does not equal 180.

Choice (D) works, with a multiplier of 5: 5 × 36 = 180. When you test the remaining two choices, neither one produces the 180 degrees you need for the triangle, so eliminate them.

Hence options A, B and D are correct!
_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test