Find the measure of Q, the smallest angle in the triangle whose sides have lengths 4-5, and 6. Round the measure to the nearest whole degree.

Given:

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.

Measure of ∠Q:

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.

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