Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

p = square^{circ}

Question

p = square^{circ}

Explanation:

Step1: Recognize the triangle type

This is an isosceles triangle (two sides are equal). In an isosceles triangle, the base - angles are equal.

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(p\) be the angle at \(F\). We know one angle \(D = 70^{\circ}\), and since the triangle is isosceles (the two non - vertex angles are equal), we have the equation \(p + 70^{\circ}+p=180^{\circ}\) (where the two \(p\)s are the equal angles at \(F\) and the other non - vertex angle). Simplifying the equation: \(2p=180^{\circ}-70^{\circ}\). So \(2p = 110^{\circ}\). Then \(p=\frac{110^{\circ}}{2}\).

Answer:

\(70\)