Classify the triangle by the angles and the sides.
obtuse isosceles
The sum of the measures of the angles of a
polygon is 1620. Find the number of sides of the
polygon.
11
Solve for x.
(3x)
(x+50)
10
(3x)
Find m1.
50
(2x+10)
50
1 (4x–10)
Solve for x.
x
90
(2x)
30
The measures of three of the angles of a
quadrilateral are 40, 70, and 130. What is the
measure of the fourth angle?
120
What is the relationship between the two angles?
9 and 11
1 2
5 6
9 10
13 14
3 4
7 8
11 12
15 16
corresponding s
The measures of the angles of a triangle are in
the ratio of 1:2:3. Find half the measure of the
largest angle.
45
Find the measure of the
largest angle.
5x
4x
75
3x
If the measure of an exterior angle of a regular
polygon is 15, how many sides does the polygon
have?
24
What is the relationship between the two angles?
8 and 12
1 2
5 6
9 10
13 14
3 4
7 8
11 12
15 16
same-side interior s
If a polygon has 33 sides, what is the sum of the
measure of the interior angles of the polygon?
5580
What is the relationship between the two angles?
5 and 10
1 2
5 6
9 10
13 14
3 4
7 8
11 12
15 16
alternate interior s
If a polygon has 33 sides, what is the sum of the
measure of the exterior angles of the polygon?
360
Find the number of diagonals than can be drawn
in an octagon.
90
Find the number of sides of a regular polygon if
each of its interior angles is 135.
n=8
If the measure of an exterior angle of a regular
polygon is 36, what is the name of the polygon?
decagon
Find the name of the polygon which has 54
diagonals.
dodecagon
The sum of the measures of the interior angles
of a polygon is 2700. What is the name of the
polygon?
17-gon
Find the name of the polygon in which each
interior angle is four times the measure of each
exterior angle.
regular decagon
acute .
In a triangle, an angle is right, obtuse, or _____
obtuse angle has a measure between
A(n) _____
90 and 180.
When two coplanar lines are cut by a transversal,
two angles that occupy similar positions are called
corresponding angles
_________________
.
exterior angle of a triangle is
The measure of a(n) _____
equal to the sum of the measure of its two remote
interior angles.
convex if no diagonal contains points
A polygon is _____
outside the polygon.
A(n) __________
polygon has all angles congruent.
equiangular
regular
A(n) __________
polygon is both equiangular and
equilateral.
When two coplanar lines are cut by a transversal,
the angles between the two lines and on opposite
interior angles
sides of the transversal are called alternate
__________
.
Find m1 and m2.
1 2
105
75/105
Find the value of x for which l || m,
130
l
(2x+10)
m
x=20
Find the value of the variable, then
classify the triangle by its sides and
angles.
x
4
3
78
41
x=61, acute/scalene
6
Find the value of the variables, then
classify the triangle by its sides and
angles.
60
x
y
120
60/60, equilateral/equiangular
Find the value of the variables, then
classify the triangle by its sides and
angles.
x
y
135
45/45, isosceles/right
Find the measure of an interior angle and an
exterior angle of a regular 24-gon.
165/15
Find the value of each variable.
62
80 y
x
95
z
53
85/100/100
Given : RS bisects QRT ; a || b
Prove : 2 supp. 4
S
4
Q
Proofs will vary.
T
3
l
1 2
R
m