Use the Properties of Parallel Lines to Solve the Problem $\mathrm { p } \| \mathrm { q }$

question 64

Multiple Choice

Use the properties of parallel lines to solve the problem.
-If $\mathrm { p } \| \mathrm { q }$ and $\mathrm { m } ( \angle 8 ) = 40 ^ { \circ }$ , what are the measures of the other angles?

• A) \(\mathrm { m } ( \angle 5 ) = \mathrm { m } ( \angle 6 ) = \mathrm { m } ( \angle 7 ) = 40 ^ { \circ } , \mathrm { m } ( \angle 1 ) = \mathrm { m } ( \angle 2 ) = \mathrm { m } ( \angle 3 ) = \mathrm { m } ( \angle 4 ) = 140 ^ { \circ }\)
• B) \(\mathrm { m } ( \angle 2 ) = \mathrm { m } ( \angle 4 ) = \mathrm { m } ( \angle 6 ) = 40 ^ { \circ } , \mathrm { m } ( \angle 1 ) = \mathrm { m } ( \angle 3 ) = \mathrm { m } ( \angle 5 ) = \mathrm { m } ( \angle 7 ) = 150 ^ { \circ }\)
• C) \(\mathrm { m } ( \angle 2 ) = \mathrm { m } ( \angle 4 ) = \mathrm { m } ( \angle 6 ) = 40 ^ { \circ } , \mathrm { m } ( \angle 1 ) = \mathrm { m } ( \angle 3 ) = \mathrm { m } ( \angle 5 ) = \mathrm { m } ( \angle 7 ) = 50 ^ { \circ }\)
• D) \(\mathrm { m } ( \angle 2 ) = \mathrm { m } ( \angle 4 ) = \mathrm { m } ( \angle 6 ) = 40 ^ { \circ } , \mathrm { m } ( \angle 1 ) = \mathrm { m } ( \angle 3 ) = \mathrm { m } ( \angle 5 ) = \mathrm { m } ( \angle 7 ) = 140 ^ { \circ }\)

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Definitions:

Fictive Kin

Close relations with people we consider “like family” but who are not related to us by blood or marriage.

Fictive Kin

Non-biological relationships that are recognized as functionally equivalent to family ties due to their emotional or social significance.

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A family unit consisting of two parents and their children, considered the smallest, most basic social unit in many societies.

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Various forms of connections or relationships between individuals or entities, such as social, familial, or professional links.