Question

What is the measure of ∠EFG in the triangle shown?

Answer 1

EGF +GEF +EFG = 180
65+57+EFG = 180
122+EFG =180
EFG = 180 - 122
EFG = 58

Answer 2

$To \: find \: the \: measure \: of \: third \: angle(∠EFG) \: we \: need \: to \: subtract \: the \: sum \: of \: other \\ two \: angles \: from \: 180° \: as \: the \: sum \: of \: all \: angles \: of \: a \: triangle \: is \: 180° \:$
Therefore,
$∠EFG + ∠FGE+ ∠GEF = 180° \\ ∠EFG + 65° + 57° = 180° \\ ∠EFG + 122° = 180° \\ ∠EFG = 180° - 122° \\ ∠EFG = 58°$