Triangle abc has angle measures as shown What is the value of x? Show your work.
1 answer:
Answer:
x=31
<c = 93
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
<a +<b + <c = 180
35+ 52+3(x+2) = 180
Combine like terms
87+3(x+2) = 180
Subtract 87 from each side
87-87 +3(x+2) = 180-87
3(x+2) =93
Divide each side by 3
3(x+2)/3 = 93/3
x+2 = 31
Subtract 2 from each side
x+2-2 = 31-2
x = 29
Substitute x into the expression for angle c
<c = 3(x+2)
=3(29+2)
= 3(31)
=93
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