Question

If \( \triangle ABC \) is an isosceles triangle with \( AB = AC \), then:

• A. \( \angle B>\angle C \)
• B. \( \angle B<\angle C \)
• C. \( \angle B = \angle C \)
• D. \( \angle B \leq \angle C \)

Hint:

In an isosceles triangle, the angles opposite the equal sides are always equal.

Answer 1

The Correct Option is C

Step 1: Understanding the properties of an isosceles triangle.
In an isosceles triangle, two sides are equal in length. Here, we are given that \( AB = AC \), meaning that the sides opposite angles \( B \) and \( C \) are equal.
Step 2: Applying the property of angles in an isosceles triangle.
In any isosceles triangle, the angles opposite the equal sides are also equal. Therefore, since \( AB = AC \), it follows that: \[ \angle B = \angle C \]
Step 3: Conclusion.
Therefore, the correct answer is (C) \( \angle B = \angle C \).