Math Problem Statement

Solve for the values of x and y in various geometric shapes such as triangles, quadrilaterals, and polygons, and calculate the side lengths or angles as required.

Solution

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Observations

The image contains a series of geometry problems involving quadrilaterals, triangles, and polygons. Each question requires solving for unknown variables xx and yy, calculating side lengths, or determining angles.

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry
Properties of Polygons
Congruence of Angles and Sides

Formulas

Sum of interior angles of a polygon = (n - 2) × 180°
Linear equations for solving unknowns
Properties of congruent triangles and parallelograms

Theorems

Triangle Sum Theorem
Properties of Parallelograms
Angle-Side Relationships in Quadrilaterals

Suitable Grade Level

Grades 8-10

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