Monday, June 17, 2013

2:49 AM


Directions: Quantitative Comparison - compare Quantity A and Quantity B, using the information below, and select one of the following four answer choices.

α and β are complementary angles; γ and α are supplementary angles; δ and β are also supplementary angles. (R = 90°)

Quantity A: γ + δ
Quantity B: 3R

A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The answer cannot be determined from the given information.


Correct Answer : C
Question: Î± and β are complementary angles; γ and α are supplementary angles; δ and β are also supplementary angles. (R = 90°) 

Quantity A: γ + δ
Quantity B: 3R
Explanation: We are given

α + β = 90°
γ + α = 180°
δ + β = 180°

Therefore β = 90° - &alpha
δ = 180° - β = 180° - (90° - α) = 180° - 90° + α
δ = 90° + α; &alpha = δ - 90°

γ + α = 180°
γ + δ - 90° = 180°
γ + δ = 180° + 90°
γ + δ = 270°

3R = 3 x 90° = 270°



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