Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°. The correct answer is option C.
The complete question is attached with the answer below.
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.
Side MN = 17 units.
Side QN = 20 units.
In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
Read more on cosine function here:
brainly.com/question/4599903
#SPJ1
