The measure of angle is the greatest of the angles in the triangle. The correct option is c. m ∠Q is the greatest of the interior angles
<h3>Determining the greatest or least angle in a triangle</h3>
From the question, we are to determine the statement that is true about triangle PQR
From the given information,
"<em>The perimeter of ΔPQR is 150 centimeters</em>"
PQ = 54 centimeters
PR = 68 centimeters
First, we will determine the length of side QR
QR = 150 cm - (54 cm + 68 cm)
QR = 150 cm - 122 cm
QR = 28 cm
Now,
In a triangle, the angle facing the longest side is the largest angle and the angle facing the shortest side is the smallest angle.
Thus,
In ΔPQR
The angle facing side PR is angle Q
and
The angle facing side QR is angle P
Since PR is the longest side, angle Q is the greatest angle
and
Since QR is the shortest side, angle P is the smallest angle
Hence, m ∠Q is the greatest angle in the triangle.
Learn more on Determining the greatest or least angle in a triangle here: brainly.com/question/16932444
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