Question

The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5 and another has a degree measure of +2x2 . write an expression for the degree measure of the third angle in the triangle.

Answer 1

If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

     m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

    m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

    m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

    m₃ = 180 + 3x⁵ - 2x²