Explanation Given Information: The measure of one supplementary angle is 45 ∘ more than the twice the measure of the other supplementary angle. Formula used: The sum of the supplementary angles is equal to 180 ∘ . Calculation: Consider provided information about the two supplementary angles, The measure of each of the supplementary angle is required. Define the variables to the two unknown variables. x = first angle and y = second angle Frame the system of equations as, The sum of the supplementary angles is equal to 180 ∘ . So, the equation is: x + y = 180 ° …… (1) The measure of one supplementary angle is 45 ∘ more than the twice the measure of the other supplementary angle. So, another equation is, y = 45 ° + 2 x …… (2) The system of two linear equations are, x + y = 180 ° …… (1) y = 45 ° + 2 x …… (2) In the provided system of equations, the equation ( 2 ) is already solved for y . So this would make it easier to substitute this into another equation and solve by substitution method. So, substitute y = 45 ° + 2 x in equation ( 1 ) x + 45 ° + 2 x = 180 ° 3 x + 45 ° = 180 ° Subtract 45 ° from both the sides of the equation. 3 x + 45 ° − 45 ° = 180 ° − 45 ° 3 x = 135 ° Divide by 3 on both the sides of the equation

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13, Problem 15T

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To calculate: The measure of each of the supplementary angles whose measure of one angle is 45∘ more than the twice the measure of the other angle.

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Chapter 13, Problem 14T

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Chapter 13 Solutions

Developmental Mathematics (9th Edition)

Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

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The measure of each of the supplementary angles whose measure of one angle is 45 ∘ more than the twice the measure of the other angle.

Solution Summary: The author calculates the sum of the two supplementary angles whose measure of one angle is 45circ, more than the twice the other angle.

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To calculate: The measure of each of the supplementary angles whose measure of one angle is 45∘ more than the twice the measure of the other angle.

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Chapter 13 Solutions