Ashley was solving for the missing angle of an isosceles triangle. She claims that you only need one base angle to find other 2 angles. Is she correct? Can you explain how this is done? She is not correct. You need 2 angles to find the 3rd missing angle. She is correct. Take the given base angle, multiply by 2 and subtract from 180 to get the vertex angle. The other bas angle matches the given base angle. She is correct. You can subtract the base angle from 180 and dilide by 2 to get the other 2 angles. She is not correct. You need to be given the vertex angle in order to find the 2 congruent base angles.

To determine whether Ashley's claim about finding the missing angles in an isosceles triangle is correct, let's analyze the properties of an isosceles triangle and the relationships between its angles. ### Properties of an Isosceles Triangle: 1. An isosceles triangle has at least two sides that are equal in length. The angles opposite these equal sides are also equal. 2. The sum of the angles in any triangle is always \(180^\circ\). ### Given: - Let \(A\) be the vertex angle. - Let \(B\) be one of the base angles (the other base angle is also \(B\) since they are equal). ### Steps to Find the Angles: 1. The sum of the angles in the triangle can be expressed as: \[ A + 2B = 180^\circ \] 2. If you know one base angle \(B\), you can find the vertex angle \(A\) using the formula: \[ A = 180^\circ - 2B \] 3. Since the other base angle is equal to the first base angle, it remains \(B\). ### Conclusion: - If you know one base angle \(B\), you can indeed find the vertex angle \(A\) and confirm that the other base angle is also \(B\). - Therefore, Ashley's claim that you only need one base angle to find the other two angles is **correct**. ### Correct Explanation: - **She is correct. Take the given base angle, multiply by 2 and subtract from 180 to get the vertex angle. The other base angle matches the given base angle.** This explanation confirms that knowing one base angle is sufficient to find the other angles in an isosceles triangle.