Question

comparing angle measures name the smallest and largest angles of the triangle. 9. a 18 6 b 15 c

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Identify the side lengths

The side lengths are \(AB = 6\), \(BC=15\), \(AC = 18\).

Step3: Determine the angles opposite the sides

Angle \(C\) is opposite side \(AB\), angle \(A\) is opposite side \(BC\), and angle \(B\) is opposite side \(AC\).

Step4: Compare the angles

Since \(AB\) is the shortest side (\(6\)), angle \(C\) (opposite \(AB\)) is the smallest angle. Since \(AC\) is the longest side (\(18\)), angle \(B\) (opposite \(AC\)) is the largest angle.

Answer:

The smallest angle is \(\angle C\) and the largest angle is \(\angle B\).