they can be but are not always. for example, in a square, each interior angle is 45 degrees. Adjacent simply means that one next to another and congruent means having the same measure. So in this example, adjacent angles are congruent.
However, in a scalene triangle, no two angles are the same and therefore cannot be congruent.
I hope this is what you are asking
Dave
square and a rectangle
Draw to lines intersecting each other. The angles across from each other will be both congruent and adjacent
yes but adjacent angles are not.
Congruent *apex
Sometimes they are, sometimes not.
Rhombus' Congruent AnglesIt's not the adjacent angles of a rhombus that are congruent, but the diagonal ones.
A quadrilateral in which adjacent angles are congruent is called a kite. In a kite, the adjacent angles formed by the intersecting diagonals are congruent. This property distinguishes a kite from other types of quadrilaterals, such as a parallelogram or a rhombus, where adjacent angles are not necessarily congruent. Kites have specific properties and characteristics that make them a unique type of quadrilateral in geometry.
Rectangles have congruent adjacent angles.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
square and a rectangle
Draw to lines intersecting each other. The angles across from each other will be both congruent and adjacent
yes but adjacent angles are not.
a rectangle
That is an important theorem in geometry: if two lines intersect to form adjacent congruent angles, then the lines are perpendicular. Those congruent angles would be right angles.
Congruent *apex
Sometimes they are, sometimes not.
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.