Isosceles Triangle Analysis: Comparing Angles B and C with Predominant Angle A

In an isosceles triangle, two sides are equal, meaning the angles opposite those sides are equal. Given that $∢A$ is the predominant (largest) angle, it follows that sides $AB$ and $AC$ are equal (assuming $∢A$ is opposite these sides, based on typical isosceles configuration). Therefore, the angles opposite these sides, $∢B$ and $∢C$, must be equal.

Applying the property of equal angles in an isosceles triangle:

• The sum of the angles in a triangle is always 180°.
• If $∢A$ is the largest angle, then $∢B + ∢C = 180° - ∢A$.
• Since $∢B = ∢C$ in an isosceles triangle, we can state $2∢B = 180° - ∢A$ leading to each angle $∢B = ∢C = \frac{180° - ∢A}{2}$.

Therefore, both angles $∢B$ and $∢C$ are equal.

The correct and final conclusion is: $∢C=∢B$.