The value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex].
How to determine an angle between two heights inside a triangle
In this question we must apply definitions and theorems of Euclidean geometry to derive the value of all required angles.
Based on geometry we know that heights are perpendicular to sides opposite to an angle, sum of internal triangles equals 180°, sum of supplementary angles equals 180°.
If we know that [tex]m\angle B = \alpha[/tex], then the value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex]. [tex]\blacksquare[/tex]
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