#### Answer

$α = 90^{\circ}$

#### Work Step by Step

1. Use the Law of Cosines to find $α$
$c^{2} = a^{2} + b^{2} - 2abcos(C)$
$(26)^{2} = (24)^{2} + (10)^{2} - 2(24)(10)cos(α)$
$676 = 576 + 100 - 480cos(α)$
$676 = 676 - 480cos(α)$
$0 = - 480cos(α)$
$cos(α) = 0$
$α = 90^{\circ}$