Question

properties of transformations
quiz complete
1 2 3
an equilateral triangle is transformed twice to create a trapezoid.
what is the measure of angle ptr?
30°
60°
90°
120°
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Explanation:

Step1: Recall the property of adjacent angles in a trapezoid

In a trapezoid formed by transforming an equilateral triangle, adjacent angles are supplementary. That is, the sum of adjacent angles is \(180^{\circ}\).

Step2: Calculate the measure of angle \(PTR\)

We know that \(\angle P = 60^{\circ}\). Let \(\angle PTR=x\). Using the supplementary - angle property \(x + 60^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x=180^{\circ}- 60^{\circ}\).

Answer:

\(120^{\circ}\)