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

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

Solving Equations with Angle Measures 2--Example 2

Parallelogram with angles x° and (x+20)°

Topic

Equations

Description

This example illustrates solving an equation involving angle measures in a parallelogram. The parallelogram has two angles represented as x° and (x+20)°. To solve this problem, we use the property that adjacent angles in a parallelogram are supplementary (sum to 180°). We can set up the equation: x° + (x+20)° = 180°. Simplifying, we get 2x° + 20° = 180°. Subtracting 20° from both sides yields 2x° = 160°. Solving for x, we find x = 80°. Therefore, the two angles are 80° and 100°. This problem demonstrates how to use algebraic equations to solve geometric problems involving parallelograms. It reinforces the understanding of parallelogram properties and helps students develop skills in translating geometric relationships into algebraic expressions. Such problems are essential in developing critical thinking and problem-solving abilities 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