Respuesta :

Given data:

The given figure of the circle.

Angle he measurement of the angle B is,

[tex]\begin{gathered} \angle B=\frac{1}{2}(180^{\circ}) \\ =90^{\circ} \end{gathered}[/tex]

The measurement of the angle A is,

[tex]\begin{gathered} 2\angle A=180^{\circ}-100^{\circ} \\ \angle A=40^{\circ} \end{gathered}[/tex]

In triangle ABC, the angle sum property is,

[tex]\begin{gathered} \angle A+\angle B+\angle C=180^{\circ} \\ 40^{\circ}+90^{\circ}+\angle C=180^{\circ} \\ \angle C=50^{\circ} \end{gathered}[/tex]

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