Download Angle Measure Notes

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Tools of Geometry
Name
Date
I can …
Essential Question(s):
Key Concepts
degree
angle
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definition
formal definition
parts of an angle
What does it look like?
How is it named?
How does an angle
divide the coordinate
plane?
Types or Classifications of
Angles
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Right
Acute
Obtuse
Straight Angle
Congruent Angles
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Definition
What do they look like?
How is it written?
Angle bisector
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Angle Measure
Definition
Notes
Figure 1
Example 1 – use figure 1
a) Name all angles that
have B as a vertex
b) Name the sides of ∠5
c) Write another name for
∠6
d) Name the vertex of ∠4
e) Name the sides of ∠7
f) Write another name for
∠EBG
Example 2 – use figure 2
Figure 2
a) Name all angles that
have W as a vertex
b) Name the sides of 1
c) What are two other
ways to write  WYZ?
Example 3 – use figure 3
a) Name two angles that
are congruent
b) Name two angles that
are not congruent
c) Name the straight
angle
Figure 3
Example 4 – Use figure 4
Figure 4a
Given: ⃗⃗⃗⃗⃗⃗
𝑸𝑷 and ⃗⃗⃗⃗⃗⃗
𝑸𝑹 are
⃗⃗⃗⃗⃗⃗ bisects
opposite rays, and 𝑸𝑻
∠𝑹𝑸𝑺
(ALWAYS LABEL/DRAW you
GIVEN on the PICTURE)
a) If m <RQT = 6x + 5 and
m <SQT = 7x – 2, find
m <RQT and m<PQS
b) Find m <TQS and m<PQS
if m <RQS = 22a – 11 and
m <RQT = 12a – 8.
Example 5 – Use figure 5
Figure 5
If 𝑚∠𝑅𝑄𝑇 = 155,
𝑚∠𝑅𝑄𝑆 = 4𝑥 − 20, and
𝑚∠𝑇𝑄𝑆 = 3𝑥 + 14, find the
measure of both angles.
Example 6 – Use figure 6
∠𝐷𝐸𝐹 is a straight angle. If the
𝑚∠𝐷𝐸𝐶 = 11𝑥 − 12 and the
𝑚∠𝐶𝐸𝐹 = 2𝑥 + 10, find the
measure of both angles.
Figure 6
Figure 4b
Example 7 – Use figure 7
Figure 7
Given: ⃗⃗⃗⃗⃗⃗
𝑮𝑯 bisects ∠𝑭𝑮𝑰, find
the measure of all three angles
Additional Examples if needed:
Answer to the Essential Question