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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8
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Algebra >> Expressions, Equations, and Inequalities >> Solving Multistep Equations

Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8

Solving Equations with Angle Measures 2--Example 8

Kite with angles 70°, (x+y)°, 40°, and (x+y)°

Topic

Equations

Description

This example illustrates solving equations involving angle measures in a kite. The kite has two known angles of 70° and 40°, and two unknown angles represented as (x+y)°. To solve this problem, we look at the triangles formed by one of the diagonals of the kite and use the triangle equation. First solve for x with the top triangle. Once you find x, use that value to solve for y in the bottom triangle. You could also use the quadrilateral equation to solve for y.

This problem demonstrates how to use the properties of kites to solve for unknown angles. It reinforces the concept that opposite angles in a kite are supplementary and helps students understand how to translate geometric properties into algebraic equations. Such problems are essential in developing critical thinking skills and preparing students for more advanced topics 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