What is m/jsm? (Show Work)

Mathematics

1 answer:

Pie2 years ago

6 0

m<SMJ + m<SME = 180° (Linear pair) ⇒ m<SMJ + 59° = 180° ⇒ m<SMJ = 121°

m<MJS ≅ m<EJA: <E + <A + <J = 180° ⇒ 90° + 48° + <J = 180° ⇒ <J = 42°

m<JSM + m<SMJ + m<MJS = 180° (Triangle sum)

m<JSM + 121° + 42° = 180°

m<JSM + 163° = 180°

m<JSM = 17°

Answer: 17°

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