Question

what is the value of p? work it out not feeling ready yet? these can help:

Explanation:

Step1: Recall the property of an isosceles triangle

In a triangle, if two sides are equal (as indicated by the tick - marks in \(\triangle GIH\)), then the angles opposite those sides are equal. Let's assume we know the sum of angles in a triangle is \(180^{\circ}\). If we assume the other two angles (not \(p\)) are equal. Let the measure of each of the other two angles be \(x\). Then \(p + 2x=180^{\circ}\). But since the triangle is isosceles (two sides are equal), and if we assume the base - angles (the angles opposite the equal sides) are \(70^{\circ}\) each (a common case when the figure is an isosceles triangle with the given side - marking convention in basic geometry problems).

Step2: Calculate \(p\)

Using the angle - sum property of a triangle \(p=180 - 2\times70\)

$$p = 180-140$$

Answer:

\(40\)