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.

10

(x+50)

(3x)

(3x)

Find m1.

50

(2x+10)

50

1 (4x–10)

Solve for x.

30

(2x)

x

90

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?

corresponding s

1 23 45 67 8

9 1011 1213 1415 16

11 and 9

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.

75

5x

4x 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?

same-side interior s

1 23 45 67 8

9 1011 1213 1415 16

12 and 8

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?

alternate interior s

1 23 45 67 8

9 1011 1213 1415 16

10 and 5

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

In a triangle, an angle is right, obtuse, or _____ .

A(n) _____ angle has a measure between 90 and 180.

When two coplanar lines are cut by a transversal, two angles that occupy similar positions are called _________________ .

The measure of a(n) _____ angle of a triangle is equal to the sum of the measure of its two remote interior angles.

A polygon is _____ if no diagonal contains points outside the polygon.

acute

obtuse

corresponding angles

exterior

convex

A(n) __________ polygon has all angles congruent.

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 sides of the transversal are called __________ .

equiangular

regular

alternate interior angles

Find m1 and m2.

21

105

75/105

Find the value of x for which l || m,

m

l

130

x=20

(2x+10)

Find the value of the variable, then classify the triangle by its sides and angles.

x=61, acute/scalene

x

78 41

3 4

6

Find the value of the variables, then classify the triangle by its sides and angles.

60/60, equilateral/equiangular

x

60

120y

Find the value of the variables, then classify the triangle by its sides and angles.

45/45, isosceles/right

x

135y

Find the measure of an interior angle and an exterior angle of a regular 24-gon.

165/15

Find the value of each variable.

85/100/100

z

80

62

y

53

95x

m

l4

Proofs will vary.

1 2

3

RQ

ST

4 supp. 2 :Prove|| ; bisects :Given

baQRTRS