Geometry: Unit 8 - practice questions
360°
What is the sum of the exterior angles of a decagon?
26.25°
What is the value of x?
Rhombus x = 2 y = 7
What type of quadrilateral? Solve for x and y
Square x = 4 y = 6
What type of quadrilateral? Solve for x and y
32°
BCDE is a rectangle. m<BCE = 4x + 10 and m<DCE = 2x + 8, find m<DCE
160
What is the measure of one interior angle of a regular polygon with 18 sides?
3060
What is the sum of the degrees of interior angle of a 19-gon?
360°
What is the sum of the exterior angles of a 20-gon?
140
What is the measure of an interior angle of a regular nonagon?
12
A regular polygon has an exterior angle of 30°. How many sides does this polygon have?
24
A regular polygon has an interior angle that is eleven times larger than an exterior angle. How many sides does this polygon have?
6
ABCD is a rhombus. If AB = 4x +3 and BC = 9x - 27, what is the value of x?
10
An exterior angle of a regular polygon measures 36°. How many sides does the polygon have?
80
Find AC
EJ = 15 FH = 30 FG = 21.21 <JFG = 45 <EJF = 90
Find EJ, FH, FG, <JFG, and <EJF
ST = 9 PR = 18 <QPR = 28 <PTQ = 124
Find ST, PR, <QPR, and <PTQ (QS = 18)
XY = 12.51 WY = 14 <XYZ = 112 <WZV = 34
Find XY, WY, <XYZ, and <WZV
130
Find m<R
y = 70
Find m<Y
<G = 102
Find the m<G
m<K = 66
Find the measure of <K
14
Find the measure of DG
m<1 = 72 m<2 = 54 m<3 = 54 m<4 = 72
Find the measure of all the angles
360
Find the measure of the sum of the exterior angles in a hexagon?
900°
Find the sum of interior angles in a heptagon
2340
Find the sum of the interior angles of a 15-gon
1440
Find the sum of the measures of the interior angles of the convex decagon
13
Find the value of AD
108°
Find the value of one angle measure in a regular pentagon
150°
Find the value of x
7
Find the value of x
94°
Find the value of x
x = 11
Find the value of x
x = 121
Find the value of x
x = 13
Find the value of x
x = 18
Find the value of x
x = 3
Find the value of x
x = 5
Find the value of x
x = 7
Find the value of x
x = 70
Find the value of x given QRST
x = 10 y = 75
Find x and y in the given parallelograms
x = 15 y = 7.333...
Find x and y in the given parallelograms
x = 81
Find x in the given parallelograms
x = 31 y = 41 z = 108
Find x, y, and z in the given parallelograms
5 sides
How many sides (assume the rest of this regular polygon is hidden under the green blob)?
10
If ABCD is a parallelogram, what is the length of BD?
7
If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have?
12
If the sum of the interior angles of a polygon is 1800°, how many sides does it have?
360
What is the sum of the exterior angles of a 25-gon?
The measures of one interior angle of a regular polygon is 140°. What is the name of the polygon?
Nonagon
AB = √5 BC = √45 DC = √5 AD = √45
Quadrilateral ABCD is located at A(9, -4), B(8, -2), C(2, -5), and D(3, -7). Find the length of AB, BC, DC, and AD
AB = -2 BC = 1/2 DC = -2 AD = 1/2
Quadrilateral ABCD is located at A(9, -4), B(8, -2), C(2, -5), and D(3, -7). Find the slope of AB, BC, DC, and AD
<RSU = 45
RSTU is a square. Find the measure of <RSU
36
What is the measure of each exterior angle of a regular decagon?
135°
What is the measure of each interior angle of a regular octagon?
120
What is the measure of one interior angle of a regular hexagon?
66°
Solve for the value of x
x = 11
Solve for x
x = 150
Solve for x
x = 165
Solve for x
x = 66
Solve for x
x = 27 y = 4
Solve for x and y
x = 70 y = 90
Solve for x and y
x = 33 m<P = 81
TRAP is an isosceles trapezoid. Solve for x and find m<P (DONT DO THIS ONE: NO PICTURE)
x = 12
The figure ABCD is a rectangle. Find the value of x
108°
The figure PQRS is a parallelogram. Find <R
28/8
The figure PQRS is a parallelogram. Find the value of y
x = 22°
The figure below is a rhombus. Find the value of x if m<1 = 4x + 2.
XV = 22
The figure is a parallelogram. Find XV
1
The figure is a parallelogram. Solve for x
10
The figure is a parallelogram. Solve for x
2
The figure is a parallelogram. Solve for x
6
The figure is a parallelogram. Solve for x
66°
The figure is a parallelogram. Solve for x
7
The figure is a parallelogram. Solve for x
9
The figure is a parallelogram. Solve for x
x = 35 y = 145 z = 35
The figure is a parallelogram. What are the values of x, y, and z? Do not include the degree symbol in the answers
20-gon
The measure of an exterior angle of a regular polygon is 18. Find the number sides
Hendecagon / 11-gon
The sum of the measures of the interior angles of a convex polygon is 1260. Classify the polygon by the number of sides
Nonagon
The sum of the measures of the interior angles of a convex polygon is 1260. Classify the polygon by the number of sides
6
Trapezoid CDEF is given. Solve for x
m<R = 115
Trapezoid PQRS is given
Decagon
What is a polygon called if the sum of its interior angles equals 1440°?
