Parallel Lines Are Cut by the Transversal Shown B) C)

question 114

Multiple Choice

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.
-If m∠6 = 115°, determine the measures of the other angles.

• A) \(\mathrm { m } \angle 5 = \mathrm { m } \angle 7 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 65 ^ { \circ }\)
• B) \(\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 65 ^ { \circ }\)
• C) \(\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 75 ^ { \circ }\)
• D) \(\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 25 ^ { \circ }\)

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Definitions:

Disparities

Inequalities or differences, often in the context of social, economic, or health outcomes among different populations.

Wealth

An abundance of valuable material possessions or resources, including money, property, and other assets.

Institutionalized

The process of establishing something as a norm or standard within a structured system or organization, often associated with formal rules and conventions.

Superiority of Reason

The belief that reason and logical thinking are the highest means of understanding or solving problems, superior to emotion or faith.