Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)
Solve for x
[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]
Add like terms
[tex] 78 + 3x = 180 [/tex]
Subtract 78 from each side
[tex] 78 + 3x - 78 = 180 - 78 [/tex]
[tex] 3x = 102 [/tex]
Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°
