Explain how you can use a straight edge and a compass to construct an angle that is both congruent and adjacent to a given angle

An adjacent angle is one of two angles that lie next to each other. They both share a common boundary line but do not overlap each other.  Congruent angles are angles that are opposite each other. They  only share a center point. You construct an adjacent angle and a congruent angle using a straight line and a compass by drawing two congruent angles with the same size angle in both angles. Because both angles are constructed using the same compass measurement; both angles are considered to be both congruent and adjacent. 

The point (5, 10) will work for the rule y=x+5.y= 10 x= 510=5+510=10therefore the ordered pair (5, 10) works for the rule