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True or false If opposite angles of a quadrilateral are supplementary then the quadrilateral is a parallelogram?
True
Is it true that if a transversal intersects two parallel lines then corresponding angles are supplementary?
yes !
Is the following statement always true. sometimes true or never true Explain your reasoning. Two congruent angles that are complementary both measure 45?
It is always true because two congruent angles that are complementary both measure 45 degrees.
How could you contrust a rhombus circumscribed in a circle?
You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.
How do you find angles of a parallelogram?
To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.
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.
True or False Adjacent (or side-by-side) angles of a quadrilateral in a circumscribed circle are always supplementary.?
True. In a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral), the adjacent angles are always supplementary, meaning their measures add up to 180 degrees. This property arises from the fact that opposite angles subtend arcs that sum to a semicircle. Thus, if one angle is known, its adjacent angle can be determined as 180 degrees minus the known angle.
If a parallelogram has one right angle then all of its angles must be right?
Yes. This is true because opposite angles are congruent and adjacent angles are supplementary.
Is this statement true or false Two angles that have a common vertex and a common side are called supplementary angles?
False. Two angles that have a common vertex and a common side are called adjacent angles, not supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees, and they do not necessarily have to share a common side.
What is always true of the vertical angles formed by perpendicular lines?
They're supplementary
Which property is always true for a quadrilateral inscribed in a circle?
opposite angles are supplementary
Is this statement true or falseIf a quadrilateral is a parallelogram, then its opposite angles are always supplementary?
false
Supplementary angles add to 270 degrees true or false?
False. Supplementary angles add to 180degrees.
Is it true that only 3 angles can be supplementary?
No. Any angles which add up to 180 degrees are supplementary.
What is true about both a rhombus and a square?
-- Opposite sides are parallel. -- Opposite sides are equal. -- All four sides are equal. -- Adjacent sides are equal. -- Adjacent angles are supplementary. -- Opposite angles are equal. -- Diagonals are perpendicular. -- Interior angles sum to two straight angles. -- Exterior angles sum to two straight angles.
Is a square the conseutive angles are supplementary?
True
Which can never be true for supplementary angles?
They cant be what their not.
