Feel free to do the problems below in any order. If you are stuck on one skip it and come back. Some of these are challenging but every one of them can be solved using the topics from the last three weeks of class. Make sure you give them all a try!
Question 8
8.
Solve for x. Show your work then enter your answer below.
Question 9
9.
Find the sum of the three blue angles below.
In other words m \angle a + m \angle b + m \angle c = ?
Show your work then enter your answer below.
Question 10
10.
Sam is making a mosaic table top with tiles as shown below. It is made of one regular octagon, 8 congruent squares and 8 congruent triangles. What is the measure of the angle indicated?
Show your work then enter your answer below.
Question 11
11.
Calculate the value of x in the diagram below.
Show your work then enter your answer below.
Question 12
12.
A regular hexagonal mirror frame is built from 2 inch wide pieces of pine lumber.
At what angles a and b should the wood be cut?
Show your work then enter your answers below.
Question 13
13.
a = ?
Question 14
14.
b = ?
Question 15
15.
In \triangleABC, the measures of angles A, B and C are (3x+90)°, (5x-10)°, and (2x+20)° respectively.
Find the measure of each angle and the value of x.
Question 16
16.
x=
Question 17
17.
\angleA=
Question 18
18.
\angle B=
Question 19
19.
\angleC=
Find all of the requested angles in the angle chase puzzle below.
You might want to use scratch paper!
1
1
1
1
1
1
1
1
1
1
Question 29
29.
What is the measure of \angle1?
1
Question 30
30.
What is the measure of \angle1?
1
Question 31
31.
How many sides did the castle have?
CONGRATULATIONS, YOU MADE IT!
WE WILL BE DOING SOMETHING DIFFERENT NEXT WEEK...
Categorize the following topics on the left by draging them into one of the three categories on the right.
There is no right answer here, this is just information for your teacher and you!
Linear pair
Acute angles
alternate interior angles
Supplementary angles
alternate exterior angles
Complementary angles
sums of interior angles of polygons
corresponding angles
angle chase puzzles
TOTALLY UNDERSTAND
SOMEWHAT UNDERSTAND
FEELING UNSURE
Each individual interior angle of a regular octagon measures 135°.
True
False
If the sum of the measures of two angles is 90°, then the two angles are supplementary.
True
False
The vertex of \angleABCis point A
True
False
An obtuse angle is an angle whose measure is more than 90°.
True
False
A diagonal is a line segment connecting ANY two vertices of a polygon.
True
False
Corresponding angles created by parallel lines are ALWAYS congruent.
