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QUESTION IMAGE

what is the value of p? s r t p =

Question

what is the value of p?
s
r
t
p =

Explanation:

Step1: Identify the triangle type

Since two sides of the triangle \( \triangle STR\) are marked as equal (the tick marks), \( \triangle STR\) is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. But wait, actually, if all three sides are equal (as indicated by the tick - marks on all three sides in a proper equilateral - like marking interpretation, assuming the standard equal - side - marking convention where each side has one tick mark), then it's an equilateral triangle.

Step2: Use the property of an equilateral triangle

In an equilateral triangle, all angles are equal. The sum of the interior angles of a triangle is \(180^{\circ}\). Let the measure of each angle be \(p\). Then, using the formula \(p + p+ p=180^{\circ}\) (sum of angles in a triangle).

$$3p = 180^{\circ}$$
$$p=\frac{180^{\circ}}{3}$$

Answer:

\(60\)