Academic Worksheet 13.1
Tell whether the angles are complementary, supplementary, or neither.
1.
2.
Find 𝑚∠1.
4.
5.
3.
6.
Use the given information to find 𝑚∠2.
7. ∠1 and ∠2 are complementary angles, and 𝑚∠1 = 78°.
8. ∠1 and ∠2 are supplementary angles, and 𝑚∠1 = 45°.
9. ∠1 and ∠2 are vertical angles, and 𝑚∠1 = 57°.
Find the value of 𝑥. Then find the unknown angle measure.
10.
11.
13.
14.
16. On the map, Henderson Road intersects Broad Street and
m∠1 = 93°. Find 𝑚∠2, 𝑚∠3, and 𝑚∠4.
12.
15.
Academic Worksheet 13.2
In Exercises 1 – 3, use the diagram at the right.
1. Name all pairs of corresponding angles.
2. Name all pairs of alternate interior angles.
3. Name all pairs of alternate exterior angles.
In Exercises 4 – 6, use the diagram at the right.
4. Name all angles that have the same measure as ∠1.
5. Name all angles that have the same measure as ∠2.
6. If 𝑚∠1 = 77°, find the measures of the other
numbered angles in the diagram.
Find the value of 𝑥 that makes lines 𝑚 and 𝑛 parallel.
7.
8.
10. Find the measures of the numbered angles in the diagram.
a.
b.
11. In the diagram, 𝑚∠1 = 152°. Tell whether the
statement is true or false.
a. ∠1 and ∠2 are alternate interior angles.
b. ∠2 and ∠3 have equal measures.
c. ∠1 and ∠3 are supplementary angles.
9.
Academic Worksheet 13.3
In Exercises 1 – 3, find the measure of an interior angle and the measure of an exterior angle for a REGULAR
polygon.
1. 12-gon
2. hexagon
3. octagon
4. For the quadrilateral shown, what is the measure of an exterior
angle at vertex A? at vertex B? at vertex C? at vertex D?
5. Find the sum of the measures of the interior angles of the
polygon.
In Exercises 6 and 7, find the unknown angle measure.
6.
7.
8. The diagram shows the base of the Door Prairie Barn. What is the sum of the measures of the interior
angles of the base? Classify the polygon.
In Exercises 9 and 10, find the values of 𝑥 and 𝑦.
9.
10.
11. The stained glass window is made with polygons. Each shaded figure is a regular polygon. Find the
values of 𝑥 and 𝑦.