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Name: __________________________________________ Date: ___________________
Geometry CC Unit 3 Day 2 Finding Missing Angles
The sum of angles on a straight line is 180°.
In the figure, 𝐴𝐵 is a straight line.
Find the measure of ∠𝑓.
𝐴
m∠𝑓 = _______
Justification:
𝐵
The sum of adjacent angles around a point is 360°.
Find the measure of ∠𝑔.
𝑚∠𝑔 = _______
Justification:
Vertical angles have
measure.
Find the measure of ∠h.
m∠h = _______
Justification:
Try this one:
H
G
6a
F
Find
5a 70
E
= _____ &
I
= _____
Example 1
Find the measures of each labeled angle. Give a reason for your solution.
Angle
Angle
measure
Justification
a
b
c
d
e
Example 2
mb=________
Statement
Reason
97 + b + 36 = 180
133 + b = 180
b = 47
Example 3
mg=________
Statements
g+g+g+
91 + 91 + 91
= 360
3g + 273 =
360
3g = 87
g = 29
Reasons
Angles around a point equal
360°
Example 4 .
𝑥=
𝑦 = ____________
3x + 6
x - 10
x - 11
y
Justification:
Example 5
𝑥=
𝑦 = __________
Justification:
y
3
x—2
4
2
x
5
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