1.6 Angle Pair Relationships

1.6 Angle Pair Relationships - o =50 o =50 o Example: Find...

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1.6 Angle Pair Relationships p.44
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Which angles are adjacent? 1 3 2 4 Vertical Angles – 2 angles that share a common vertex & whose sides form 2 pairs of opposite rays. <1&<3, Then what do we call <1&<3?
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Linear Pair (of angles) 2 adjacent angles whose non-common sides are opposite rays. 1 2
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Example Vertical angles? Adjacent angles? <1&<2, <2&<3, Linear pair? Adjacent angles not a linear pair? 1 3 2 5 4
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Important Facts Vertical Angles are congruent. The sum of the measures of the angles in a linear pair is 180 o .
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Example: If m<5=130 o , find m<3 m<6 m<4 5 3 4 6 =130
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Unformatted text preview: o =50 o =50 o Example: Find x y m&lt;ABE m&lt;ABD m&lt;DBC m&lt;EBC 3x+5 o y+20 x+15 4y-15 x=40 y=35 m&lt;ABE=125 o m&lt;ABD=55 o m&lt;DBC=125 o m&lt;EBC=55 o A B C D E Complementary Angles 2 angles whose sum is 90 o 1 2 35 o A 55 o B &lt;1 &amp; &lt;2 are complementary &lt;A &amp; &lt;B are complementary Supplementary Angles 2 angles whose sum is 180 o 1 2 130 o 50 o X Y &lt;1 &amp; &lt;2 are supplementary. &lt;X &amp; &lt;Y are supplementary. Ex : &lt;A &amp; &lt;B are supplementary. m&lt;A is 5 times m&lt;B. Find m&lt;A &amp; m&lt;B. m&lt;A + m&lt;B = 180 o m&lt;A = 5(m&lt;B) Now substitute! 5(m&lt;B) + m&lt;B = 180 o 6(m&lt;B)=180 o m&lt;B=30 o m&lt;A=150 o Assignment Assignment...
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1.6 Angle Pair Relationships - o =50 o =50 o Example: Find...

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