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Compare the quantity in column A with the quantity in column B. Choose the best answer.



AThe quantity in Column A is greater.
BThe quantity in Column B is greater.
CThe two quantities are equal.
DThe relationship cannot be determined from the information given.

Compare the quantity in column A with the quantity in column B. Choose the best answer. A. The quantity in Column A is greater. B. The quantity in Column B is g class=
Compare the quantity in column A with the quantity in column B. Choose the best answer. A. The quantity in Column A is greater. B. The quantity in Column B is g class=

Verified Answer :

garydesir1

Hi

The answer is B

The quantity in Column B is greater.

Edufirst

Answer:  the quantity in column B is greater.


Explanation:


To compare the quantity in column A with the quantity in column B, two figures are attached.


The first figure is the graph showing two intersecting lines forming four angles: two pairs of vertical angles.


The angles formed and their measures are:

  • m∡AOB: 91°
  • ∡DOC is vertical angle with ∡AOB so they are congruent: ∴ m∡DOC = m∡AOB = 91°.
  • ∡AOD and ∡AOB are linear pair angles, so they are supplementary: m∡AOD + m∡AOB = 180° ⇒ m∡AOD = 180° - m∡AOB = 180° - 91° = 89°
  • ∡COB and ∡AOD are vertical angles, so they are congruent: m∡COB = m∡AOD = 89°.

To Compare the quantity in column A with the quantity in column B, let's first summarize the results:


Angle                      Measure

∡AOB ≅ ∡DOC         91°

∡AOD ≅ ∡BOC         89°


The quantities to compare in column A and column B are in the second figure and they are:


Column A            Column B

m∡AOD                m∡DOC

89°                        91°              ← by substitution of above results

Conclusion: the quantity in column B is greater.


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