Question

are the triangles below acute, obtuse, or right? triangle a: angles 30°, 30°, 120°; options: acute (unselected), obtuse (selected), right (unselected). triangle b: angles 45°, 45°; right angle symbol; options: acute (unselected), obtuse (unselected), right (selected). triangle c: angles 55°, 50°, 75°; options: acute (unselected), obtuse (unselected), right (unselected). triangle d: angles 20°, 30°, 130° (assumed? or 20°, 30°, 130°? wait, original image: triangle d has angles 20°, 30°, and 130°? wait, no, the ocr: triangle ds angles? wait, the image shows triangle d with angles 20°, 30°, and 130°? wait, no, the users image: triangle d: angles 20°, 30°, and 130°? wait, the ocr text after processing: the question is about classifying triangles a - d as acute, obtuse, or right, with a chart (table) showing each triangles angles and multiple - choice options. so the ocr text is: \are the triangles below acute, obtuse, or right? triangle a: angles 30°, 30°, 120°; options: acute (unselected), obtuse (selected), right (unselected). triangle b: angles 45°, 45°; right angle symbol; options: acute (unselected), obtuse (unselected), right (selected). triangle c: angles 55°, 50°, 75°; options: acute (unselected), obtuse (unselected), right (unselected). triangle d: angles (lets see the image: triangle d has angles 20°, 30°, and 130°? wait, no, the original image: triangle ds angles: 20°, 30°, and 130°? wait, no, the users image: triangle d: angles 20°, 30°, and 130°? wait, the ocr text: the problem is to classify each triangle (a - d) as acute, obtuse, or right, with a chart (table) of each triangles angles and multiple - choice options for each. so the ocr text is: \are the triangles below acute, obtuse, or right? chart with triangle a (angles 30°, 30°, 120°; options: acute, obtuse (selected), right), triangle b (angles 45°, 45°; right angle; options: acute, obtuse, right (selected)), triangle c (angles 55°, 50°, 75°; options: acute, obtuse, right), triangle d (angles 20°, 30°, 130°? or 20°, 30°, 130°? wait, the images triangle d: angles 20°, 30°, and 130°? wait, no, the users image: triangle d has angles 20°, 30°, and 130°? wait, the ocr text after extracting: the question is about four triangles (a - d) with their angles and multiple - choice options to classify as acute, obtuse, or right. so the ocr text is: \are the triangles below acute, obtuse, or right? triangle a: angles 30°, 30°, 120°; options: acute (○), obtuse (●), right (○). triangle b: angles 45°, 45°; right angle; options: acute (○), obtuse (○), right (●). triangle c: angles 55°, 50°, 75°; options: acute (○), obtuse (○), right (○). triangle d: angles 20°, 30°, 130° (assumed? or 20°, 30°, 130°? wait, the original image: triangle ds angles: 20°, 30°, and 130°? wait, the ocr text: the problem is to determine for each of the four triangles (a, b, c, d) whether it is acute, obtuse, or right, with a chart (table) presenting each triangles angles (or angle symbols) and multiple - choice options (radio buttons) for each triangle.\

Explanation:

Step1: Analyze Triangle C

First, recall the sum of angles in a triangle is \(180^\circ\). For Triangle C, the given angles are \(55^\circ\), \(50^\circ\), and we calculate the third angle: \(180 - 55 - 50 = 75^\circ\). All angles (\(55^\circ\), \(50^\circ\), \(75^\circ\)) are less than \(90^\circ\), so it's acute.

Step2: Analyze Triangle D

For Triangle D, angles are \(20^\circ\), \(30^\circ\), and the third angle: \(180 - 20 - 30 = 130^\circ\). Since \(130^\circ>90^\circ\), it's obtuse.

Answer:

Triangle C: Acute
Triangle D: Obtuse

(For Triangle C, the correct option is "Acute"; for Triangle D, the correct option is "Obtuse")