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Unit 7: geometry homework 3: angle relationship and algebra

Unit 7: geometry homework 3: angle relationship and algebra

Angle relationshipandalgebraare closely related in geometry, as we often use algebraicexpressionsto represent angle measures and their ratios.How to express the relationship between angular relations and algebra?For example, if we are given thatangle Aand angleBarecomplementary(meaning that their sum is 90 degrees), we can write an algebraic equation:A + B = 90Similarly, if we know that angle A is three timeslargerthan angle B, we can write:A = 3BWe can usealgebraic equationsto solve for unknown angle measures or to findrelationshipsbetween angles.For example, let's say we are given thatangleAiscomplementaryto angleB, and that angle B is twice as large as angleC. We can write:A + B = 90B = 2CWe cansubstitutethe second equation into the first equation to get:A + 2C = 90This equation relates the three angles A, B, and C. We can usealgebratosolvefor any of the unknown angles, given the measures of the others.Therefore,algebraicequationsand expressions are an important tool in understanding and analyzingangle relationshipsin geometry.Find out more aboutalgebraat:brainly.com/question/4344214#SPJ1...

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