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Example 3 – Solving a problem using angle properties Determine ...

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Unit6Workbook.notebook<br />

May 03, 2013<br />

<strong>Example</strong> 3 <strong>–</strong> <strong>Solving</strong> a <strong>problem</strong> <strong>using</strong> <strong>angle</strong> <strong>properties</strong><br />

<strong>Determine</strong> the measure of<br />

Justify your answer with <strong>properties</strong> used in chart below.<br />

May 2­9:02 AM<br />

7.2 Angle Properties of Parallel Lines<br />

A line that intersects a pair of parallel lines is called a transversal. When <strong>angle</strong>s<br />

are formed by two parallel lines and a transversal:<br />

Corresponding Angles<br />

are equal<br />

“F Pattern”<br />

Alternate Angles<br />

are equal<br />

“Z Pattern”<br />

Interior Angles have a<br />

sum of 180°<br />

“C Pattern”<br />

May 2­9:03 AM<br />

1


Unit6Workbook.notebook<br />

May 03, 2013<br />

Let’s find the corresponding, alternate and interior <strong>angle</strong>s:<br />

Corresponding Angles (F Pattern):<br />

c = d =<br />

e = f =<br />

Alternate Angles (Z Pattern):<br />

e = f =<br />

Interior Angles (C Pattern)<br />

e + ___ = 180° f + ___ = 180°<br />

May 2­9:06 AM<br />

<strong>Example</strong>:<br />

Find the missing <strong>angle</strong>s.<br />

a = b = c =<br />

May 2­10:36 AM<br />

2


Unit6Workbook.notebook<br />

May 03, 2013<br />

May 2­10:36 AM<br />

3

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