In the first pic ABC=DBE find value of x, ABC=DEF find F in the second one
2 answers:
if ABC = DBE
then <a = <d and <c = <e
<c = <e
<c = 83
<a +<b + <c = 180 triangles add to 180
x+8 + 51+ 83 = 180
combine like terms
x+142 = 180
subtract 142 from each side
x = 38
ABC = DEF
then <a = <d <b = <e and <c = <f
125 = <e
<d+<e+ <f = 180 triangles add to 180
35+125+ <f = 180
combine like terms
160 +<f = 180
subtract 160 from each side
<f = 120
First problem:
x + 8 + 51 + 83 = 180
x + 142 = 180
x = 38
Second problem:
m<C + 35 + 125 = 180
m<C + 160 = 180
m<C = 20
m<F = m<C = 20
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