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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1
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Algebra >> Expressions, Equations, and Inequalities >> Solving Multistep Equations

Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1

Solving Equations with Angle Measures 2--Example 1

Parallelogram with angles x° and 2x°

Topic

Equations

Description

This example demonstrates solving an equation involving angle measures in a parallelogram. The parallelogram has two angles represented as x° and 2x°. To solve this problem, we apply two key properties of parallelograms: opposite angles are equal, and adjacent angles are supplementary (sum to 180°). We can set up the equation: x° + 2x° = 180°. Simplifying, we get 3x° = 180°. Solving for x, we find x = 60°. Therefore, the two angles are 60° and 120°. This problem showcases how algebraic equations can be used to solve geometric problems. It reinforces the understanding of parallelogram properties and helps students develop skills in translating geometric relationships into algebraic expressions. Such problems are crucial in developing analytical thinking and preparing students for more complex concepts in geometry and algebra.

For a complete collection of math examples related to Solving Equations with Angle Measures click on this link: Math Examples: Solving Equations with Angle Measures Collection.

Common Core Standards CCSS.MATH.CONTENT.8.G.A.5, CCSS.MATH.CONTENT.HSG.CO.C.10, CCSS.MATH.CONTENT.7.EE.B.4.A, CCSS.MATH.CONTENT.7.G.B.5
Grade Range 8 - 10
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Solving Multistep Equations
Geometry
    • Quadrilaterals
        • Applications of Quadrilaterals
Copyright Year 2020
Keywords quadrilaterals, equations