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Montano1993 [528]
4 years ago
10

M<p= 21x+25 and m <n= 675x-27/3

Mathematics
1 answer:
VladimirAG [237]4 years ago
7 0

∠n and ∠p are supllementary angles, therefore m∠n + m∠p = 180°.

m\angle p=21x+25\\\\m\angle n=\dfrac{675x-27}{3}=\dfrac{675x}{3}-\dfrac{27}{3}=225x-9

therefore

(21x+25)+(225x-9)=180\\\\(21x+225x)+(25-9)=180\\\\246x+16=180\qquad|-16\\\\246x=164\qquad|:246\\\\x=\dfrac{164}{246}\\\\x=\dfrac{2}{3}

m\angle p=21x+25

substitute

m\angle p=21\cdot\dfrac{2}{3}+25=7\cdot2+25=14+25=39^o

m\angle n=225x-9

substitute

m\angle n=225\cdot\dfrac{2}{3}-9=75\cdot2-9=150-9=141^o

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