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en.wikipedia.org/wiki/Congruence_(geometry)

In geometry, two figures or objects are congruent if they have the same shape and size, or if ... Two angles are congruent if they have the same measure. .... are acute, but it is always longer when the corresponding angles are right or obtuse.

en.wikipedia.org/wiki/Transversal_(geometry)

In geometry, a transversal is a line that passes through two lines in the same plane at two ... Further, if the angles of one pair are congruent, then the angles of each of the other pairs are also ... This contradicts Proposition 16 which states that an exterior angle of a triangle is always greater than the opposite interior angles.

socratic.org/questions/what-types-of-angles-are-always-congruent

Jul 28, 2016 ... Right angles ( 90o ) Straight angles ( 180o ) Complete angles ( 360o ) See below ...

www.mathopenref.com/anglesvertical.html

As can be seen from the figure above, when two lines intersect, four angles are formed. Each opposite pair are called vertical angles and are always congruent.

www.mathopenref.com/congruentangles.html

Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent ...

www.mathplanet.com/education/pre-algebra/introducing-geometry/angles-and-parallel-lines

Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. Adjacent angles share a ...

Proving that vertical angles are equal. ... Vertical angles are congruent proof ...... What I want to do is if I can prove that angle CBE is always going to be equal to ...

www.mathsisfun.com/geometry/congruent-angles.html

Congruent Angles have the same angle (in degrees or radians). That is all. ... the same angle. Congruent - why such a funny word that basically means "equal"?

mathbitsnotebook.com/Geometry/ParallelPerp/PPangles.html

Let's examine these pairs of angles in relation to parallel lines: ... Theorem. If two parallel lines are cut by a transversal, the alternate interior angles are congruent. .... Vertical angles are ALWAYS equal in measure, whether the lines are ...