STANDARD 13 Finding angle measure, complement, supplement and vertical angle using Geo-Legs: Problem 1 END SHOW Finding angle measure, complement, supplement and vertical angle using Geo-Legs: Problem 2 Are vertical angles really congruent? Problem 3 Problem 5 Problem 7 Problem 8 Problem 6 How many linear pairs? Problem 4 Problem 9 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

STANDARD 13: Students prove relationships between angles in polygons using properties of complementary, supplementary, vertical and exterior angles. ESTÁNDAR 13: Los estudiantes prueban relaciones entre ángulos en polígonos usando propiedades de ángulos complementarios, suplementarios, verticales y ángulos exteriores. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the measure of this angle? 45° The measure is 45° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the complement of the angle? 45° Complement is 45° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the measure its supplement? 45° 15° 30° 45° 60° 75° 90° 105° 120° 135° 0° Supplement is 135° 135° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the measure of its vertical angle? 45° Vertical angle is 45° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the complement of this angle? 15° 0° 30° 45° 60° 75° 90° 105° 120° It is more than 90°, so it does not have complement. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the supplement of this angle? 120° Supplement is 60° 15° 0° 30° 45° 60° 75° 90° 105° 120° 60° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

What is the measure of its vertical angle? Vertical angle is 60° 60° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How many pairs of vertical angles are formed? 2 Are the vertical angles congruent? 60° 120° Yes STANDARD 13 15° 0° 30° 45° 60° 75° 90° 105° 120° 15° 0° 30° 45° 60° 75° 90° 105° 120° PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How many linear pairs are formed? 60° 120° STANDARD 13 1 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

60° 120° STANDARD 13 How many linear pairs are formed? 2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

60° 120° STANDARD 13 How many linear pairs are formed? 3 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

4 linear pairs 60° 120° STANDARD 13 How many linear pairs are formed? PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement is 15° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Supplement is 105°. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Vertical angle 75° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement is 15° Supplement is 105°. Vertical angle 75° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement does not exist because is more than 90°. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Supplement is 75°. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Vertical angle measures 105° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement does not exist because is more than 90°. Supplement is 75°. Vertical angle measures 105° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement does not exist because is 90°. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Supplement is 90°. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Vertical angle measures 90° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement does not exist because is 90°. Supplement is 90°. Vertical angle measures 90° STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angle that has been highlighted below? Complement does not exist because is more than 90°. Supplement does not exist because is 180° It does not have a vertical angle. STANDARD 13 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Find the complement, supplement, and measure of vertical angle for the angles given below, then using the Geo-Leg verify your results. STANDARD 13 Vertical: 35° Complementary: 55° Supplementary: 145° Vertical: 70° Complementary: 20° Supplementary: 110° Vertical: 85° Complementary: 5° Supplementary: 95° 35° 70° 85° PRESENTATION CREATED BY SIMON PEREZ. All rights reserved