Figure it Out - 5.1 (Page 264)
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List all the linear pairs and vertically opposite angles you observe in Fig. 5.3:
Linear Pairs: $\angle a$ and $\angle b$, $\angle b$ and $\angle c$, $\angle c$ and $\angle d$, $\angle d$ and $\angle a$
Pairs of Vertically Opposite Angles: $\angle a$ and $\angle c$, $\angle b$ and $\angle d$
Figure it Out - 5.4 (Pages 298-301)
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1. Find the angles marked below.
$a = 132^{\circ}$
$b = 52^{\circ}$
$c = 81^{\circ}$
$d = 48^{\circ}$
$e = 69^{\circ}$
$f = 120^{\circ}$
$g = 58^{\circ}$
$h = 75^{\circ}$
$i = 27^{\circ}$
$j = 56^{\circ}$ -
2. Find the angle represented by a.
Values for $a$ in the respective sub-figures: $42^{\circ}, 100^{\circ}, 62^{\circ}, 110^{\circ}, 35^{\circ}, 67^{\circ}$
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3. In the figures below, what angles do x and y stand for?
$x = 25^{\circ}, y = 65^{\circ}$
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4. In Fig. 5.33, $\angle ABC=45^{\circ}$ and $\angle IKJ=78^{\circ}$. Find angles $\angle GEH$, $\angle HEF$, $\angle FED$.
$\angle GEH = 45^{\circ}$, $\angle HEF = 78^{\circ}$, $\angle FED = 102^{\circ}$
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5. In Fig. 5.34, AB is parallel to CD and CD is parallel to EF. Also, EA is perpendicular to AB. If $\angle BEF=55^{\circ}$ find the values of x and y.
$x = 35^{\circ}$, $y = 125^{\circ}$
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6. What is the measure of angle NOP in Fig. 5.35?
$\angle NOP = 84^{\circ}$
