Name _________________________________ Period_________ Date________________
Angles #2
1. Use the picture below to name each pair of angles.
∠ 1 𝑎𝑛𝑑 ∠ 9 ________________________
∠ 4 𝑎𝑛𝑑 ∠ 14
_____________________
∠3 𝑎𝑛𝑑 ∠ 11
______________________
∠ 11 𝑎𝑛𝑑 ∠ 14 ______________________
∠ 10 + ∠ 11 𝑎𝑛𝑑 ∠ 2 _____________________
∠12 + ∠ 14 + ∠ 13 ______________________
2. Using the picture above, if 𝑚∠12 = 25° and 𝑚∠14 = 65°, find the measure of each of the other angles.
𝑚∠1 = ____________
𝑚∠4 = ____________
𝑚∠7 = ___________
𝑚∠10 = ____________
𝑚∠2 = ____________
𝑚∠5 = ____________
𝑚∠8 = ___________
𝑚∠11 = ____________
𝑚∠3 = ____________
𝑚∠6 = ____________
𝑚∠9 = ___________
𝑚∠13 = ____________
⃡ is parallel to ⃡𝑌𝑍. If the measure of ∠1 is 45°, what is the measure of ∠3?
3. 𝑊𝑋
𝑚∠3 = ______________
4.
In the diagram, ̅̅̅̅
𝐴𝐵 and ̅̅̅̅
𝐶𝐷 intersect at 𝐸 and ̅̅̅̅
𝐴𝐶 ∥ ̅̅̅̅
𝐷𝐵 . If
𝑚∠𝐶 = 48° and 𝑚∠𝐵 = 62°, what is the 𝑚∠𝐴𝐸𝐶?
𝑚∠𝐴𝐸𝐶 = _______________
5. Solve for each angle measure.
Hint: solve for 𝑥 first
𝑥 + 12
3𝑥 + 4
6. What do the interior angles of a triangle add up to?
_______________________ degrees
7. Draw a line from one vertex to another vertex in the rectangle.
How many triangles are there in the rectangle? _______
What do the interior angles of the quadrilateral add up to? ________
8. Draw a line from one vertex to two other vertices in the pentagon.
How many triangles are there in the pentagon? _______
What do the interior angles of the pentagon add up to?_______
9. Draw a line from one vertex to three other vertices in the hexagon.
How many triangles are there in the hexagon? ________
What do the interior angles of the hexagon add up to? _________
10.
Fill in the table below using the information above and following the same pattern with the last three columns:
Polygon
Triangle
Quadrilateral
# of sides
# of
Triangles
Sum of
Interior
Angles
Can you identify a pattern?
Pentagon
____________
____________
____________