#### Exercise 2

Chapter 2, Section 2-1, Page 72

ISBN: 9780328931583

Solution

VerifiedStep 1

1 of 2$\angle 4$ forms a linear pair with $\angle 1$ and with $\angle 3$ so they are supplementary:

$\angle 1+\angle 4=180\text{\textdegree}$

$\angle 1+118\text{\textdegree}=180\text{\textdegree}$

$\color{#c34632}{\angle 1 =62\text{\textdegree}}$

$\angle 3+\angle 4=180\text{\textdegree}$

$\angle 3+118\text{\textdegree}=180\text{\textdegree}$

$\color{#c34632}{\angle 3 =62\text{\textdegree}}$

$\angle 4$ and $\angle 2$ are vertical angles so they are congruent. Hence, their measures are equal:

$\angle 2 =\angle 4$

$\color{#c34632}{\angle 2 =118\text{\textdegree}}$

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