Math Problem Statement

∠1 and angle, 2∠2 are supplementary angles. If m, angle, 1, equals, left parenthesis, 7, x, minus, 20, right parenthesis, degreesm∠1=(7x−20)∘ and m, angle, 2, equals, left parenthesis, 2, x, minus, 7, right parenthesis, degreesm∠2=(2x−7)∘, then find the measure of angle, 2∠2.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry
Supplementary Angles
Linear Equations

Formulas

Supplementary angles: m∠1 + m∠2 = 180°
Linear equation: 7x - 20 + 2x - 7 = 180

Theorems

Supplementary Angle Theorem

Suitable Grade Level

Grades 8-10