Side Lengths
Angle Measures
Complementary and Supplementary Angles
Miscellaneous
100
Will the side lengths of 2cm, 3cm, and 10 cm make a triangle?
No. The short sides will not add up to a total greater than the long side.
100
Is a triangle with angle measures of 20, 100, and 50 degrees possible?
No.
A triangle must equal 180 degrees total.
100
Complementary angles have a sum of ___ degrees and supplementary angles have a sum of ___ degrees.
90 and 180.
100
If angle 1 is 40 degrees, what is the measure of angle 2?
140 degrees.
Angle 1 and 2 are supplementary, meaning they have to add up to 180 degrees.
200
Will the side lengths of 5cm, 8cm, and 4cm make a triangle?
Yes. The short sides add up to a total greater than the long side.
200
A triangle has angle measures of 45 and 45 degrees.
What will the third angle equal?
90 degrees.
200
Are 35 and 125 degree angles complementary?
No. They do not add together to equal 90 degrees.
200
If angle 1 is 40 degrees, what is the measure of angle 4?
40 degrees.
Angle 1 and 4 are vertical angles, meaning they are congruent.
300
What is the interior angle sum of a quadrilateral?
360 degrees.
300
Are 40 and 50 degree angles complementary?
Yes. They add together to equal 90 degrees.
300
What is the angle sum of a polygon with 9 sides?
1260 degrees.
S = (n-2)*180
S = (9-2)*180
S = 7*180
S = 1260
400
Is a quadrilateral with angle measures of 100, 60, 40, and 80 degrees possible?
No.
The sum of all angles in a quadrilateral must equal 360 degrees.
400
Are 110 and 70 supplementary angles?
Yes. They add together to equal 180 degrees.
400
What is the angle sum of a polygon with 12 sides?
1800 degrees.
S = (n-2)*180
S = (12-2)*180
S = 10*180
S = 1800
500
A triangle has side lengths of 5 cm and 7 cm.
The measure of the longest side is missing.
What is the longest length this side could be?
11 cm.
500
Is a quadrilateral with degrees 60, 120, 60 and 120 possible?
Yes.
Quadrilaterals must equal 360 degrees.
500
What is the measure of the supplement to the angle of 25 degrees?
155 degrees.
500
Why do engineers use triangles so often when building strong structures?
Triangles are rigid shapes, meaning their angles cannot change. Only one triangle can be made using three side lengths, unlike other polygons.