Given the isosceles triangle pictured below.What is the measure of one of the base angles? The base angles of C or B = _____°

To solve for the measure of one of the base angles of an isosceles triangle, follow these steps:

1. Break Down the Problem

Given that it is an isosceles triangle, we know that two sides are equal, and the angles opposite those sides are also equal (the base angles). We need to find the measure of one of the base angles (let's denote them as $B$ and $C$).

2. Relevant Concepts

The sum of the angles in any triangle is always $180^\circ$. Therefore, for an isosceles triangle with base angles $B$ and $C$ and the vertex angle $A$: $A + B + C = 180^\circ$ Since $B = C$ in an isosceles triangle, we can express this as: $A + 2B = 180^\circ$ From this, we can solve for $B$: $2B = 180^\circ - A$ $B = \frac{180^\circ - A}{2}$

3. Analysis and Detail

To find the specific measure of the base angles $B$ and $C$, we need the measure of the vertex angle $A$. Once we have that angle, we can substitute it into the equation.

4. Verify and Summarize

If you have the measurement of the vertex angle $A$, substitute it into the equation to find the base angle $B$. If not, it cannot be calculated without additional information.

Final Answer

The measure of one of the base angles $B$ or $C$ is given by: $B = \frac{180^\circ - A}{2}$ Please provide the measure of angle $A$ to obtain a specific numerical answer.