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Is it always true sometimes true or never true that a pair of vertical angles is a linear pair of angles?

sometime true


If two angles form a linear pair then they are complementary true or false?

A linear pair are always supplementary, 180 degrees not 90.


Is Converse of linear pair theorem true?

No.


True of false angle that forms a linear pair have a sum of 90?

true


Does one of the angles in a linear pair of angles have to be obtuse?

True , but remember there cannot be two obtuse. Must be one acute & one obtuse. * * * * * NOT always true. Both may be right angles.


Is it true or false If two angles form a linear pair then they form a straight angle. If two angles form a straight angle then they form a linear pair.?

True, if two angles form a linear pair, they are supplementary and add up to 180 degrees, which means they form a straight angle. Conversely, if two angles form a straight angle, they also form a linear pair, as they share a common side and their non-adjacent sides are opposite rays. Thus, both statements are true.


Is it true or false supplementary angles are always linear pairs?

True only if the two angles are adjacent (i.e. have a point in common). By definition, supplementary angles add up to 180° therefore they are linear pairs, if they are adjacent. Otherwise false. Imagine drawing an angle of 40° at the top of the page and another of 140° at the bottom. These angles are supplementary but not a linear pair.


Intersecting chords form a pair of congruent are they called vertical angles?

apex= True


If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin by isolating and substituting a variable that is squared in both equations?

true


What is the solution of a system of linear equations in two variables?

The solution of a system of linear equations is a pair of values that make both of the equations true.


True or false a system of two linear inequalities has either no points or infinity many points in a solution?

its true because they have all have the same linear pair It's actually false


The foci of an ellipse will always lie inside the ellipse true or fale?

true