Question

what is the value of c? c = ° submit work it out not feeling ready yet? these can help

Explanation:

Step1: Identify isosceles triangle

The triangle has two equal - length sides (marked with red dashes), so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. Let the base - angles be $\angle U$ and $\angle T$ (where $\angle T = c$), and the non - base angle be $\angle V=65^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. So, $\angle U+\angle T+\angle V = 180^{\circ}$. Since $\angle U=\angle T = c$, we have $c + c+65^{\circ}=180^{\circ}$, which simplifies to $2c+65^{\circ}=180^{\circ}$.

Step3: Solve for $c$

First, subtract $65^{\circ}$ from both sides of the equation: $2c=180^{\circ}-65^{\circ}=115^{\circ}$. Then divide both sides by 2: $c=\frac{115^{\circ}}{2}=57.5^{\circ}$.

Answer:

$57.5$