Question

classify the triangles by angle measure. acute, obtuse, or right.

Explanation:

Step1: Recall angle - type definitions

An acute triangle has all angles less than 90°. An obtuse triangle has one angle greater than 90°. A right - triangle has one angle equal to 90°.

Step2: Analyze the first triangle

The angles of the first triangle are 63°, 51°, and 66°. Since all angles are less than 90°, it is an acute triangle.

Step3: Analyze the second triangle

The angles of the second triangle are 47°, 41°, and 92°. Since one angle (92°) is greater than 90°, it is an obtuse triangle.

Step4: Analyze the third triangle

The angles of the third triangle are 25°, 37°, and 118°. Since one angle (118°) is greater than 90°, it is an obtuse triangle.

Step5: Analyze the fourth triangle

The angles of the fourth triangle are 64°, 41°, and 75°. Since all angles are less than 90°, it is an acute triangle.

Answer:

Acute; Obtuse; Obtuse; Acute