Interior inklings
Exterior exercises
Twin-Sided Triangles
&
60 Degrees All Around
&
60 Degrees All Around
Sides of a Triangle: The Rules
Quadrilateral Quandaries
100
The sum of the interior angles of a 3 sided convex polygon.
180°
100
The sum of the exterior angles of a convex polygon with 11 sides.
360°.
100
The measure of angle ∠QPO
92°
100
To prove that three given lengths will create a triangle.
Add the two smaller sides together, this much be larger than the third.
100
What is the most specific name for this quadrilateral?
Rhombus
200
The sum of interior angles of a convex octagon
1080°.
200
The name of the regular polygon whose exterior angle has a measure of 72°.
pentagon
200
The length of CB
14
200
The range of possible values for the 3rd side of a triangle, if the other two sides are 19 and 25.
6<x<44
200
42
300
The measure of one interior angle of a regular dodecagon.
150°.
300
The measure of one exterior angle of a regular polygon with 12 sides.
30°
300
The measure of ∠OPN
29°
300
The longest side of △ABC if the angles have the following measures: m∠A=55, m∠B=14, m∠C=111.
Hint: Sketech and label the triangle
Side AB
300
The figure below is a parallelogram, name the property used to find the measure of zo
Consecutive angles of a parallelogram are supplementary.
400
The measure of one interior angle of a regular polyon if the measure of an exterior angle is 18o.
162°
400
The measure of one exterior angle of a regular polygon if the measure of one interior angle is 135.
45°
400
Find m∠BDC
60
400
The smallest angle of △MPQ if the triangle has the following side lengths:
MP = 12, PQ = 20, QM= 29
Hint: Sketech and label the triangle
∠Q
400
Rhombus NPQR is shown below.
If m∠RNP = 62o find m∠NQR AND state the property used to find the m∠NQR.
m∠NQR = 31
Diagonals Bisect Opposite Angles
500
The number of sides of a regular polygon if the sum of the interior angles is 2160.
14 sides
500
The number of sides of a regular polygon if the measure of one interior angle is 140.
9 sides
500
Find m∠MHE
40°
500
△WDB has side lengths 15 and 18. The following sides length are possible for the third side of a triangle:
3 15 18 29 33 42
The thrid side could be 15, 18, 29
500
Rhombus BCDE is shown below. Find the length of BD
BD = 70