Question

What is m/jsm? (Show Work)

Answer 1

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°