What is a bisector???
What is opposite angles??
What are the factors of polynomials???
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Answers
Answer:
In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector. The most often considered types of bisectors are the segment bisector (a line that passes through the midpoint of a given segment) and the angle bisector (a line that passes through the apex of an angle, that divides it into two equal angles).
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).
In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain. Polynomial factorization is one of the fundamental components of computer algebra systems.
The first polynomial factorization algorithm was published by Theodor von Schubert in 1793.[1] Leopold Kronecker rediscovered Schubert's algorithm in 1882 and extended it to multivariate polynomials and coefficients in an algebraic extension. But most of the knowledge on this topic is not older than circa 1965 and the first computer algebra systems:
Step-by-step explanation:
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Answer:
AB and CD are straight lines intersecting at O. OX the bisector of angles ∠AOC and OY is the OY is the bisector of ∠BOD.
OY is the bisector of ∠BOD.
∴∠1=∠6 ……..(1)
OX is the bisector of ∠AOC
∴∠3=∠4 …….(2)
∠2=∠5 ……….(3) (vertically opposite angles)
We know that, the sum of the angles formed at a point is 360
o
.
∴∠1+∠2+∠3+∠4+∠5+∠6=360
o
⇒∠1+∠2+∠3+∠3+∠2+∠1=360
o
(using 1,2 and 3)
⇒2∠1+2∠2+2∠3=360
o
2(∠1+∠2+∠3)=360
o
⇒∠DOY+∠AOD+∠AOX=180
o
∠XOY=180
o
∴ The bisectors of pair of vertically opposite angles are on the same straight line