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Understanding Angles: Types, Measures, and Relationships in Geometry

This guide covers the essential concepts surrounding angles in geometry. It explains the measurement of angles in degrees, minutes, and seconds, and the classification of angles: acute, right, obtuse, straight, and reflex angles. Additionally, it explores the relationships between lines, including parallel, intersecting, and coincident lines. The text also addresses special angle pairs such as supplementary and complementary angles, providing examples to illustrate each concept. Perfect for students looking to grasp foundational geometry.

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Understanding Angles: Types, Measures, and Relationships in Geometry

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  1. ANGLES Measure of an angle Degree (derajat) …0 Minute (menit) …‘ Second (detik) …“ 10 = 60’ 1’ = 60” 10 = 3600” 64’ = 60’ + 4’ =10 + 4’ = 10 4’ Created by ﺟﻴﻄ

  2. Additions and subtractions 250 47’ 43” 120 22’ 34” 140 81’ 21’ 79” __________+ ………… 110 26’ 34” 370 69’ 77” = 380 10’ 17” 45” 30 55’ 45” 150 22’ 19” ________ _ …………… Created by ﺟﻴﻄ

  3. Naming Angles B Angle’s ray (Kali sudut) A  Angle’s ray (kaki sudut) C Vertex (titiksudut) An angle can be named in two ways : 1. One letter  A 2. Three letters  BAC or CAB Created by ﺟﻴﻄ

  4. Clasified of angles Acute angle (sudutlancip) : measure between 0 and 90 Right angle (sudutsiku-siku) : measure 90 Obtuse angle (suduttumpul) : measure between 90 and 180 Straight angle (sudutlurus) : measure 180 Reflex angle (Sudut reflex) : measure between 180 and 360  B acute obtuse  A right  E straight  C  D reflex Created by ﺟﻴﻄ

  5. The relationships of two lines a. Parallel lines (sejajar) b. Intersecting lines (berpotongan) k k  l l c. Coincident lines (berimpit) k l Created by ﺟﻴﻄ

  6. Special pairs of angles 1. Supplementary angles (berpelurus) : are two angles whose measures have the sum 180 D Example M P 1300 500 B C A Q R K L Q and L are supplementary ABD and DBC are supplementary Created by ﺟﻴﻄ

  7. 2. Complementary angles (berpenyiku) : are two angles whose measures have the sum 90 Example D A P 600 P and R are complementary 300 R Q ABD and DBC are complementary C B Created by ﺟﻴﻄ

  8. 3. Vertical angles or opposite (bertolakbelakang) are congruent D A E C B AEB and DEC are vertical angles  AEB = DEC AED and BEC are vertical angles  AED = BEC Created by ﺟﻴﻄ

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