Step 1: using a straightedge, draw an angle. label the vertex
p
.
step 2: using a straightedge, draw a ray that does not appear to intersect
∠
p
.
label the initial point
r
.
step 3: place the needle of a compass on point
p
,
and then draw an arc (part of a circle) that intersects both sides of
∠
p
.
label the intersections of the arc and the sides of angle
p
as points
k
and
l
.
now you have
∠
l
p
k
.
step 4: keep the compass setting and place the needle of the compass on point
r
.
then, draw an arc (about the same length as the previous arc) through ray
r
.
label this intersection point
m
.
now you have
−−→
r
m
.
step 5: place the needle of the compass at point
k
and adjust its width to point
l
.
step 6: keep the compass setting and place the needle of the compass on point
m
.
then, draw an arc that intersects the arc drawn in step 5. label the intersection point
n
.
step 7: using a straightedge, draw a ray through
r
and
n
,
now you have
∠
n
r
m
.
step 8: using a protractor, measure
∠
l
p
k
and
∠
n
r
m
.
write those measures on your construction.
verify the measure of each angle is the same. if
∠
l
p
k
=
∠
n
r
m
,
then you completed this construction correctly.