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9.5 Angles and Triangles p.551.. D E F Name the angle in five different ways. Angle DEF, angle FED, DEF, FED, or E.

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Presentation on theme: "9.5 Angles and Triangles p.551.. D E F Name the angle in five different ways. Angle DEF, angle FED, DEF, FED, or E."— Presentation transcript:

1 9.5 Angles and Triangles p D E F Name the angle in five different ways. Angle DEF, angle FED, DEF, FED, or E

2 .. Name the angle in five different ways. Angle PQR, angle RQP, PQR, RQP, or Q P Q R

3 Classifying Angles p.553 An angle whose measure is 90 o. An angle whose measure is 180 o.... CDE Right angle: Straight angle:

4 An angle whose measure is greater than 0 o and less than 90 o. An angle whose measure is greater than 90 o and less than 180 o. Acute angle: Obtuse angle:

5 Classify the angles as right, straight, acute or obtuse.... CDE Straight angle Right angle Acute angle Obtuse Angle

6 Complementary Angles p. 554 Two angles are complementary if the sum of their measures is 90 o. Each angle is called a complement of the other. Find the measure of a complement of the angle o o o 72 o 15 o 45 o

7 Supplementary Angles p. 555 Two angles are supplementary if the sum of their measures is 180 o. Each angle is called a supplement of the other. Find the supplement of the angle given o o o 142 o 23 o 90 o

8 Triangles p. 555 A triangle is a polygon made up of three segments, or sides. A triangle with vertices A, B, and C can be named ABC. AB C D E F G H I

9 Types of Triangles p. 556 Equilateral triangle - Isosceles triangle – Scalene triangle – All sides are the same length. Two or more sides are the same length. All sides are of different lengths.

10 Types of Triangles p. 556 Right triangle – Obtuse triangle – Acute triangle – One angle is a right angle. One angle is an obtuse angle. All three angles are acute.

11 Sum of the Angle Measures of a Triangle In any triangle ABC, the sum of the measures of the angles is 180 o. A B C 65 o 24 o Find the measure of angle A. x + 65 o + 24 o = 180 o x + 89 o = 180 o x = 180 o – 89 o x = 91 o x


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