Question

what is the value of p?

Explanation:

Step1: Use the property of isosceles triangle

Since two sides of the triangle are equal (marked with the same tick), the triangle is isosceles. In an isosceles triangle, the base - angles are equal. Let the triangle be \(\triangle IKJ\) with \(IK = KJ\). The sum of angles in a triangle is \(180^{\circ}\). Let the unknown angle \(p\) and the other non - given angle (which is equal to \(p\)) and the given angle \(49^{\circ}\) satisfy the equation \(49^{\circ}+p + p=180^{\circ}\).

Step2: Solve the equation for \(p\)

Simplify the equation \(49 + 2p=180\). Subtract \(49\) from both sides: \(2p=180 - 49\). So \(2p = 131\). Then divide both sides by \(2\): \(p=\frac{131}{2}=41\).

Answer:

\(41\)