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Name________________________
SUM OF THE INTERIOR ANGLES OF A TRIANGLE #2-KEY
Directions: Solve for x in each of the triangles below. The Triangle Sum Theorem states that the interior angles of a
triangle always add up to 180̊ . Your first step should be to set up an equation where the sum of the angles adds up to
180̊. Solve the equation for x, then plug that value back in to the expressions to find the measure of the missing angles.
C
C
1)
2)
x
3)
A
x
3x
60̊
A
B
A
B
70̊
70̊
x+10
A
50̊
x+50
4x
C
B
x = __30___
C
4)
5x
6x
x = _ 60___
B
x = __10___
x = _ 12_ _
ABC  _ 90̊____
CAB  _ 70̊__ _
CAB  _ 60̊__
CAB  _ 62̊___
ACB  _ 30̊____
ACB  _ 60̊__ _
CBA  _ 50̊__
CBA  __ 48̊_ _
A
5)
6)
60̊
5x
B
7)
A
B
B
3x+50
A
8)
3x+5
2x
40̊
3x
77̊
C
C
x = __15___
2x+20
3x-20
2x
x = _ 30___
A
x = __ 8___
x = _ 22_ _
ABC  _ 75̊____
CAB  _ 60̊__ _
CAB  _ 74̊__
CAB  _ 44̊___
ACB  _ 45̊____
ACB  _ 80̊__ _
CBA  _ 29̊__
CBA  __ 46̊_ _
A
A
9)
37̊
B
C
A
x
10)
B
C
C
29̊
11)
12)
2x
2x+15
2x
C
x = __32___
C
2x+30
72̊
4x+30
B
x = _ 26___
B
7x
B
x = __ 11___
2x
C
x = _ 25_ _
ABC  _ 79̊____
CAB  _ 26̊__ _
CAB  _ 77̊__
CAB  _ 50̊___
ACB  _ 64̊____
ACB  _ 82̊__ _
CBA  _ 74̊__
CBA  __ 50̊_ _
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80̊
A
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