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nlexa [21]
3 years ago
10

What is m/jsm? (Show Work)

Mathematics
1 answer:
Pie3 years ago
6 0

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

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

<u>m<JSM + m<SMJ + m<MJS = 180°  </u><u><em> (Triangle sum) </em></u>

m<JSM  + 121° + 42° = 180°

m<JSM  + 163° = 180°

m<JSM  = 17°

Answer: 17°

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We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.

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