Download 5.1 Proving Patterns with Lines and Angles

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Transcript
5.1 Proving Patterns with Lines and Angles
Angles
A shape, formed by two lines or rays splitting from a common point (the vertex).
Angle Addition
Ex. 1
If angle m∠VIN = 85˚ and
Ex. 2
If angle m∠ ABC = 35˚ and
Angle m∠ EIN = 45˚, find
Angle m∠ CBD = 40˚, find
Angle m∠ VIE
Angle m∠ ABD
Angle Bisector
A line or ray that divides an angle into two congruent angles
27.
Vertical Angles
Two angles whose sides form opposite rays.
Vertical Angles have the same measurement and are congruent.
Linear Pair
28. angles that form a straight line.
Two adjacent
Linear Pairs always add to be 180°
Find all the missing angles using what you know about complementary and supplementary angles.
Find the value of the variable and YZ if Y is between X and Z.
XY = 7a, YZ = 5a, XZ = 6a + 24