Question

what is the value of y? y = □°

Explanation:

Step1: Identify the triangle type

Since two sides of $\triangle DEF$ are equal (marked with the same tick), it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, $\angle D=\angle F = 48^{\circ}$.

Step2: Use the triangle - angle sum property

The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle E=y$. Then, $y + 48^{\circ}+48^{\circ}=180^{\circ}$.

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Answer:

$84$