Answer:
A) [tex]68[/tex]
Step-by-step explanation:
[tex]sin(x^\circ-20^\circ)=cos(42^\circ),0<x<90[/tex]
[tex]sin(x^\circ-20^\circ)=cos(42^\circ)[/tex]
[tex]sin(x^\circ-20^\circ)=sin(90^\circ-42^\circ)[/tex]
[tex]sin(x^\circ-20^\circ)=sin(48^\circ)[/tex]
[tex]x^\circ-20^\circ=48^\circ[/tex]
[tex]x^\circ=68^\circ[/tex]
Helpful Tips:
Cofunction Identity --> [tex]sin(90^\circ-x^\circ)=cos(x^\circ)[/tex]
