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What are the non vertex angles of a kite?
The angles formed by one congruent side adjacent to the side not congrent to the first side
What is an angle formed by one side of a triangle and the extension of an adjacent side?
Exterior and interior angles at the vertex of a triangle add up to 180 degrees
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 53?
If your "53" is in degrees, then the vertex angle is 74 degrees.
What is the sum of the measurement of the angles around the vertex point of tessellation?
The sum of the angles around a vertex point in a plane will always be 360o. Picture a bicycle wheel with all its spokes radiating out from the hub. Now pick two spokes to form a vertex. Find the angle of your vertex, and then subtract it from 360o. As there are 360o in a circle, and your figure (the vertex) is a slice of the circle, its angle plus all the rest of the arc about the vertex will sum to 360o. If you've discovered the angle of your vertex, you cannot help but find the sum of the rest of the angles (if there are more than one) around your vertex.
The kind of angle formed by the non-common sides of two adjacent and complementary sides?
That would be a right angle: The measure of complementary angles adds up to 90 degrees. Adjacent angles are angles that share one common side and one common vertex, but no common interior points (the angles don't overlap). The non-common sides of two adjacent angles are the two "outside" sides (the unshared sides). Two adjacent and complementary angles would form a right angle split by a ray/line, and not necessarily bisected (perfectly divided in half).
