Respuesta :

Answer

121

Step-by-step explanation

Given a quadrilateral inscribed in a circle, then its opposite angles are supplementary, that is, their addition is equal to 180°.

Considering angles B and D from the quadrilateral ABCD of the diagram, we get:

[tex]\begin{gathered} m\angle B+m\angle D=180\degree \\ 74+(x-15)=180 \\ (74-15)+x=180 \\ 59+x=180 \\ x=180-59 \\ x=121 \end{gathered}[/tex]

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