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ACTIVITY 7 - ANGLE RELATIONSHIPS
T
INTERSECTING LINES:
1 2
3 4
L
M
5
6
7 8
1. List the following with reference to figure above:
Interior Angles:
Exterior Angles:
Alternate Interior Angles:
Alternate Exterior Angles:
Corresponding Angles:
Same-sided Interior Angles:
Same-sided Exterior Angles:
If




the lines L and M are parallel:
Corresponding angles are congruent;
Alternate interior angles are congruent;
Alternate exterior angles are congruent;
Same-sided interior and same-sided exterior angles are supplementary.
L
1 2
3 4
2.
M
5 6
7 8
T
L and M are parallel, and T is a transversal. If angle 3 is 65 degrees, find the measures of the
other angles.
3. Complete the table:
Polygon
Triangle
Square
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
# of sides
# of angles
# of diagonals
4. Complete the table:
Sum of
Regular
interior
angles
Polygon
Triangle
Square
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
Measure of
interior angle
Measure of
exterior angle
Sum of
exterior angle
Measure of
central angle
5. How many diagonals does an n-gon have?
6. Determine a ‘Rule’ for finding each of the following for a regular n-gon. State whether the
rule applies for any n-gon or just for the regular n-gon.
(a) Sum of the interior angles
(b) Measure of an interior angle
(c) Measure of an exterior angle
(d) Sum of the measures of exterior angles
(e) Measure of a central angle.
7. Find the measure of the angles P, Q, and R shown below:
P
28 o
R
Q
70 o