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Main Idea New Vocabulary Key Concept: Angles of a Triangle Example 1: Find a Missing Measure Example 2: Real-World Example Key Concept: Classify Triangles Example 3: Real-World Example Example 4: Draw Triangles Example 5: Draw Triangles • Identify and classify triangles. • triangle • isosceles triangle • congruent segments • equilateral triangle • acute triangle • right triangle • obtuse triangle • scalene triangle Find a Missing Measure ALGEBRA Find mA. Find a Missing Measure The sum of the angle measures in a triangle is 180. mA + 80° + 50° = 180° Write the equation. mA + 130° = 180° – 130° = – 130° Simplify. Subtract 130° from each side. mA = 50° Answer: So, mA is 50°. Find mZ. A. 60° B. 62° C. 92° D. 118° CAPITOL BUILDING A state capitol building is shown below. What is the missing measure in the diagram? To find the missing measure, write and solve an equation. Let x represent the missing measure. x + 32 + 116 = 180 x + 148 = 180 – 148 = – 148 x = 32 Write the equation. Simplify. Subtract 148 from each side. Answer: The measure of the missing angle is 32°. BIRDHOUSES Chad made a birdhouse for his back yard. The triangle below shows the measures of the angles of the front of the birdhouse. What is the measure of the missing angle? A. 30° B. 60° C. 90° D. 100° Classify Triangles Classify the marked triangle below by its angles and by its sides. The triangle in the corner has one right angle and no congruent sides. Answer: So, it a right scalene triangle. Classify the marked triangle below by its angles and by its sides. A. right scalene B. right isosceles C. right equilateral D. right obtuse Draw Triangles Draw a triangle with three acute angles and three congruent sides. Then classify the triangle. Draw an acute angle. The two segments should be congruent. Draw Triangles Connect the two segments with a line congruent to the other two to form a triangle. Answer: The triangle is an acute equilateral triangle. Draw a triangle with an obtuse angle and two congruent sides. Then classify the triangle. A. C. B. D. Draw Triangles Draw a triangle with three acute angles and two congruent sides. Then classify the triangle. Draw an acute angle. The two segments of the angle should be congruent. Draw Triangles Connect the two segments to form a triangle. Answer: The triangle is an acute isosceles triangle. Draw a triangle with one obtuse angle and no congruent sides. Then classify the triangle. A. C. B. D.