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Sever21 [200]
3 years ago
12

Find m∠PQW if m∠WQR = 130°, m∠PQR = 16x, and m∠PQW = 3x.

Mathematics
1 answer:
V125BC [204]3 years ago
5 0

Answer:

m\angle PQW=30^o

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m\angle PQR=m\angle PQW+m\angle WQR ---> by addition angle postulate

substitute the given values

16x=3x+130\o

solve for x

16x-3x=130^o

13x=130^o

x=10^o

Find the measure of angle PQW

m\angle PQW=3x

substitute the value of x

m\angle PQW=3(10^o)=30^o

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