<u>Given</u>:
Given that PQR is a triangle.
The measures of the sides of the triangle are 4,5 and 6.
We need to determine the measure of ∠Q.
<u>Measure of ∠Q:</u>
The measure of ∠Q can be determined using the law of cosines formula.
Thus, we have;
Substituting p = 6, q = 4, r = 5, we get;
Simplifying, we get;
Dividing, we get;
Thus, the measure of ∠Q is 41°
Hence, Option b is the correct answer.