Question

what is the value of x?
the value of x is

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the angles opposite the equal sides are equal. So, the triangle \(DEF\) is isosceles with \(DE = EF\), and the base - angles \( \angle D=\angle F=x\).

Step2: Apply the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + x+70^{\circ}=180^{\circ}\).

Step3: Solve the equation for \(x\)

Combine like terms: \(2x+70^{\circ}=180^{\circ}\). Subtract \(70^{\circ}\) from both sides: \(2x=180^{\circ}- 70^{\circ}=110^{\circ}\). Then divide both sides by \(2\): \(x = 55^{\circ}\).

Answer:

\(55\)