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Angles and Triangles p.551 D E F

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Presentation on theme: "Angles and Triangles p.551 D E F"— Presentation transcript:

1 . . 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

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

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

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

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

6 Complementary Angles p. 554
Two angles are complementary if the sum of their measures is 90o. Each angle is called a complement of the other. Find the measure of a complement of the angle. 15o 45o 2. 3. 1. 72o 75o 45o 18o

7 Supplementary Angles p. 555
Two angles are supplementary if the sum of their measures is 180o. Each angle is called a supplement of the other. Find the supplement of the angle given. 1. 38o o 3. 90o 142o 23o 90o

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. I C F A B E D G H

9 Types of Triangles p. 556 All sides are the same length.
Equilateral triangle - Isosceles triangle – Scalene triangle – 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 180o. Find the measure of angle A. B x + 65o + 24o = 180o 65o x + 89o = 180o x 24o x = 180o – 89o C A x = 91o


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