Solve a system of equations using any method: word problems

Learning Objectives Identify two different clues about unknown angles within a single word problem. Use diagrams to visually represent angle relationships described in word problems. Apply the concepts of complementary (90°) and supplementary (180°) angles to set up angle puzzles. Solve for two unknown angles using a 'guess and check' strategy. Use logical reasoning to find the value of two unknown angles. Check their answers to ensure they satisfy both conditions of the word problem. Can you solve a mystery? 🕵️‍♀️ I'm thinking of two secret angles that add up to 90°, but one is 30° bigger than the other. What are my secret angles? In this lesson, you will become an angle detective! You will learn how to use two clues at once to solve word problems about myst...

TermDefinitionExample Angle Puzzle (System of Equations)A word problem that gives you two clues about two or more unknown angles. You must use both clues together to find the answer.Clue 1: Two angles make a right angle (add to 90°). Clue 2: One angle is 10° larger than the other. This is an angle puzzle. Unknown AngleAn angle in a problem whose measure in degrees you need to find.In the problem 'Angle A and Angle B add up to 90°,' Angle A and Angle B are the unknown angles. Complementary AnglesTwo angles whose measures add up to exactly 90 degrees. They form a right angle when put together.A 30° angle and a 60° angle are complementary because 30 + 60 = 90. Supplementary AnglesTwo angles whose measures add up to exactly 180 degrees. They form a straight line when put together.A...

Complementary Angle Rule Angle A + Angle B = 90° Use this rule when the problem states that two angles form a right angle or are complementary. Supplementary Angle Rule Angle X + Angle Y = 180° Use this rule when the problem states that two angles form a straight line or are supplementary.