Question

If cos∠E = sin∠F and m∠E = 26°, what is m∠F?

Answer 1

Step 1

Given;

`\begin{gathered} cosE=sinF \\ measure\text{ of angle E=26}^o \end{gathered}`

Required; To find the measure of angle F

Step 2

`\begin{gathered} cos26=sinF \\ \sin\left(90^(\circ\:)-26^(\circ\:)\right)=cos26 \end{gathered}`
`\begin{gathered} \sin\lparen F)=\sin\left(90^(\circ\:)-26^(\circ\:)\right) \\ sin(F)=sin(64) \end{gathered}`

Answer;

`m\angle F=64`