Solve a system of equations using any method

Learning Objectives Identify two pieces of information (clues) about unknown angles in a diagram. Use a visual model, like a bar diagram, to represent the relationship between two angles. Find the measure of an unknown angle when given its relationship to another angle and their total sum (90° or 180°). Solve for two unknown angles that form a right angle (90°). Solve for two unknown angles that form a straight angle (180°). Check their answer to make sure the two angles match both clues given in the problem. Can you solve a puzzle with two secret clues? 🕵️‍♀️ Let's become angle detectives and use clues to find missing angle measurements! In this lesson, you will learn how to use two facts at once to solve for missing angles. This is like solving a system of equations,...

TermDefinitionExample System of Equations (for Angles)A set of two or more clues (or equations) that work together to help you find the value of unknown angles.Clue 1: Angle A and Angle B add up to 90°. Clue 2: Angle A is 10° bigger than Angle B. Using both clues, we can find the exact size of A and B. Unknown ValueA missing number that you are trying to find. In our puzzles, this will be the size of an angle in degrees.In the problem '30° + ? = 90°', the unknown value is 60°. Right AngleAn angle that measures exactly 90°. It looks like the corner of a square.The corner of a piece of paper or a book is a right angle. Straight AngleAn angle that measures exactly 180°. It looks like a straight line.A flat, open book forms a straight angle. Complementary AnglesTwo angles that add u...

The Right Angle Rule Angle A + Angle B = 90° Use this rule when you see two or more angles that together form a right angle (marked with a small square in the corner). The Straight Angle Rule Angle A + Angle B = 180° Use this rule when you see two or more angles that together form a straight line.