Math Problem Statement

For the following diagrams, (A) state the type of angles that are given, (B) state their relationship, and (C) find x. Find the missing variable in part B.

Solution

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Problem Set 1

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Relationships
Linear Equations

Formulas

Supplementary Angles: Two angles that add up to 180°
Vertical Angles: Opposite angles formed by two intersecting lines are equal
Linear Pair: Adjacent angles formed by intersecting lines add up to 180°

Theorems

Vertical Angle Theorem: Vertical angles are congruent
Supplementary Angle Theorem: Two angles on a straight line sum to 180°

Suitable Grade Level

Grades 8-10