Respuesta :

Answer:

[tex]m\angle PQW=30^o[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

[tex]m\angle PQR=m\angle PQW+m\angle WQR[/tex] ---> by addition angle postulate

substitute the given values

[tex]16x=3x+130\o[/tex]

solve for x

[tex]16x-3x=130^o[/tex]

[tex]13x=130^o[/tex]

[tex]x=10^o[/tex]

Find the measure of angle PQW

[tex]m\angle PQW=3x[/tex]

substitute the value of x

[tex]m\angle PQW=3(10^o)=30^o[/tex]

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