Answer:
x=3
Explanation:
Angles A and C are opposite angles of a cyclic quadrilateral.
Theorem:
Therefore:
[tex]\begin{gathered} m\angle A+m\angle C=180\degree \\ 38x+5\degree+21x-2=180\degree \end{gathered}[/tex]Next, solve the equation for x:
[tex]\begin{gathered} 38x+21x+5-2=180 \\ 59x+3=180 \\ 59x=180-3 \\ 59x=177 \\ x=\frac{177}{59} \\ x=3 \end{gathered}[/tex]The value of x is 3.
