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Does a linear pair mean that two angles are together and not separated?

a) Yes, a linear pair consists of two adjacent angles that form a straight line.
b) No, a linear pair involves two non-adjacent angles that add up to 180 degrees.
c) Yes, a linear pair is formed by two angles separated by a curve.
d) No, a linear pair refers to two angles that are always perpendicular to each other.

1 Answer

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Final answer:

A linear pair refers to two adjacent angles that together form a straight line and total 180 degrees. This geometry concept is essential in understanding the properties of intersecting lines and their angles. Additionally, the study of linear equations helps describe these straight lines algebraically.

So option (A) is the correct answer.

Step-by-step explanation:

A linear pair of angles is a concept in mathematics under the study of geometry. The correct choice for what constitutes a linear pair is: a) Yes, a linear pair consists of two adjacent angles that form a straight line. These two angles are supplementary, meaning that they add up to 180 degrees. A linear pair occurs when two lines intersect and the adjacent angles, which share a common side, together form a straight line.

When discussing the angle between a line and a plane, this is usually measured by creating a perpendicular line to the plane that intersects the original line at the point of interest. As for angles in different contexts, perpendicular angles always form a 90-degree angle between two lines; if two lines are pointing in the same direction, they are parallel, and if pointing in opposite directions, they are considered to be a straight line or collinear.

An understanding of linear equations is also connected to geometry since a linear equation represents a straight line on a graph. The standard form y = mx + b allows us to understand and predict linear relationships in algebra and statistics, with'm' representing the slope and 'b' the y-intercept of the line.

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