Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.2 - Solving Multi-Step Equations - Exercises - Page 16: 26

Answer

$a=60$

Work Step by Step

The sum of the four angles inside a quadrilateral is $360^\circ$. Thus, the equation needed to find the value of $a$ is: $$2a^\circ+2a^\circ+a^\circ+a^\circ=360^\circ$$ Solve the equation: $$\begin{align*} 6a^\circ&=360^\circ &\text{Combine like terms.}\\ \frac{6a^\circ}{6}&=\frac{360^\circ}{6} &\text{Divide 6 to both sides.}\\ a^\circ&=60^\circ &\text{Simplify.}\\ a&=60 \end{align*}$$ Using a protractor to measure the angle confirms the measurement is reasonable. Thus, $a=60$.
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