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The opposite angles of a quadrilateral inscribed in a circle are?
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
Are two angles that are supplementary congruent?
They can be but not always because supplementary angles add up to 180 degrees.
In a parallelogram consecutive angles are always?
In a parallelogram consecutive angles are always supplementary. This means they equal 180.
Do supplementary angles always 90 degrees?
No. COMPLIMENTARY angles always add up to 90 degrees. SUPPLEMENTARY angles always add up to 180 degrees. you don't really have to know this stuff in later math, but for whatever course you're in right now it would be a vital error to mix them up. but if you are asking if every angle that is supplementary to another is 90 degrees by itself, the answer is still no. a supplementary can be any angle that is less than 180 degrees.
Can a quadrilaterals always be divided into two triangles?
Yes, it can always be divided in 2 triangles. This is because every quadrilateral has 2 diagonals. It is these diagonals that divide the quadrilateral into 2 triangles.
