Question

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

Answer 1

Draw two intersecting lines, using the straightedge. The lines form an angle. Label the vertex of the angle as point O.

Set the compass to a convenient radius and using point O as the center, draw a circle. The circle will cut the sides of the angle. Label the two points of intersection A and B.

Set the compass at A and draw a circle so that it contains point B. That circle will intersect the first circle. Label the point of intersection as C.

Since arc AB is the same length as arc AC, the two arcs subtend congruent angles. Since the two angles share side OA, they are adjacent.

Answer 2

There are many simple youtube videos that show the above method described by Steve, here is one of them

https://www.youtube.com/watch?v=K7TAXoSYui4

Answer 3

Y'all should actually watch that videoooo

I was stuck on this question for like 2 weeks and i didn't wanna write down something that would make me look silly. HAAH

BUT I FINALLY GOT THE ANSWER literally just write down everything that lady says, its super easy

GOOD LUCK

Answer 4

I feel like nobody takes into account that it says, "given angle"