Missing Angles
Name the Shape
Sides of Polygon
Algebra in Shapes
100
60
100
Four sides of any length, with four angles of any measure. No special characteristics.
Quadrilateral
100
If the exterior angle of a regular polygon measures 12°, how many sides does the polygon have?
30
100
If ABCD is a parallelogram, what is the length of BD?
10
200
The diagram below shows quadrilateral ROCK. Find the missing angle measurement.
81
200
Four equal sides
Four 90 degree angles
Diagonals congruent
Diagonals are perpendicular
Square
200
If the exterior angle of a regular polygon measures 40°, how many sides does the polygon have?
9
200
Shape WXYZ is a rhombus. Calculate the value of y?
54
300
. Given the regular pentagon below, determine the value of x.
72
300
Opposite sides congruent
Opposite angles congruent
Diagonals are congruent
Four 90 degree angles
Rectangle
300
An exterior angle in a regular polygon measures 14.4°. What is the name of the polygon?
25-gon
300
The figure is a parallelogram.
Solve for x.
7
400
A convex polygon is shown. What is the value of x?
50
400
Four congruent sides
Diagonals are perpendicular
Diagonals have opposite slopes
Diagonals bisect opposite angles
Rhombus
400
The sum of the interior angles of a polygon is 720°. How many sides does the polygon have?
6
400
Given: A parallelogram: Solve for x
8
500
Find the value of x.
53
500
One set of parallel sides
Trapezoid
500
The sum of the interior angles of a polygon is 3960°. How many sides does the polygon have?
24
500
Given: A rhombus Find ∠HGI
35