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Igoryamba
3 years ago
15

Can someone please help me with question 4

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

So angle 3 is congruent to angle 4 because they are both complimentary to 1 and 2.

By SAS, triangle SNM is congruent to triangle SNF.

By CPCTC, angle QMN is congruent to angle RFN.

By AAS, triangle QMN is congruent to RNF.

So by CPCTC, QM=RP

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\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
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\textit{but we also know that sum of all interior angles is }180(n-2)
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\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
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180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
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