Based on the definition of supplementary angles and properties for algebraic handling, we conclude that the measure of angle 6 is equal to 108°.
<h3>What is the measure of an angle generated by two non-parallel lines?</h3>
According to the Euclidean geometry, a line crossed by a <em>non-parallel</em> line generates four pairs of <em>supplementary</em> angles. Two angles are <em>supplementary</em> if and only if the angles are adjacent to each other and the sum of their measures is equal to 180°.
Then, we know that the mathematical model is m ∠ 6 + m ∠ 7 = 180° = 72° + m ∠ 7 = 180°. Thus, m ∠ 7 = 108°. Based on the definition of <em>supplementary</em> angles and properties for algebraic handling, we conclude that the measure of angle 6 in the system generated by two <em>non-parallel</em> lines is equal to 108°.
To learn more on supplementary angles: brainly.com/question/13045673
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