given PQR~STU what is the measure of angle Q

Answer :

To find angle Q, simply use the sine rule

[tex]\frac{\sin46}{14}=\frac{\sin Q}{21}[/tex]

cross multiply

14 sin Q = 21 sin46

Divide both-side by 14

[tex]\sin Q=\frac{21\sin 46}{14}[/tex][tex]\sin Q=1.0790[/tex]