Question

HELP ME OKEASEEEEE
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Answer 1

Explanation:

Sum of all angles of a triangle = 180

∠M + ∠N + ∠P = 180

∠M + 119 + 31 = 180

∠M + 150 = 180

∠M = 180 - 150

∠M = 30°

Use Sine Rule:

`(a)/(Sin \ A)=(b)/(Sin \ B)\\\\\\(10)/(Sin \ 30)=(n)/(Sin \ 119)\\\\\\(10)/((1)/(2))=(n)/( 0.8746)\\\\\\10*2= (n)/(0.87)\\\\20*0.87=n\\\\`

n = 17.4

`(p)/(Sin \ P)=(m)/(Sin \ M)\\\\\\(p)/(Sin \ 31)=(10)/(Sin \ 30)\\\\\\(p)/(0.5150)=(10)/((1)/(2))\\\\(p)/(0.52)=10*2\\\\(p)/(0.52)=20\\\\\\p=20*0.52\\\\p =10.4`

p = 10.4