# 1.A: Angle Measures

- Page ID
- 31434

\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)

## Overview

The purpose of this lesson is to understand basic angle relationships such as complementary, supplementary, and vertical angles.

This lesson will address the following CCRS Standard(s) for Geometry:

*8.G.5: Use informal arguments to establish facts about the angle sum and exterior angles of triangles, above the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so**G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc*

## Directions

- Take notes while watching videos below
- Go to http://wamap.org and log into our course to complete assignment 1.A with 80% or better.

### Watch

### Do

Complete assignment 1.A with 80% or better at http://wamap.org

## Summary

In this lesson we have learned:

- Angles are measured between 0
^{o}and 180^{0}where angles less than 90^{0}are called acute angles, angles that are 90^{0}are called right angles, and angles that are more than 90^{0}are called obtuse angles. - Complementary angles are two angles which add to 90
^{0} - Supplementary angles are two angles which add to 180
^{0}, they are often found together (adjacent) forming a straight line. - Vertical angles are made with two intersecting lines where opposite angles are congruent or have the same measure.