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The solution would be x=58 because when angles are vertical to one another they are congruent. which would make 2x-11=105.

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In this image you can see that <2 & <4 are vertical to each other making them congruent and the same thing goes for <1 & <3.

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The answer would be x=7 and m<GEF=33.

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Find the value of "x"

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To find "x", you would need to make the two equations equal to each other. Then, subtract one constant and one "x' from each side. Then, divide the remaining "x" by the remaining constant to get your answer. Then to find the angle, you need to plug "x" into the equation for the angle.

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Find the value of x if m<DEF=2x+19 and m<GEF=4x+5, then find m<GEF.

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Congruent: Identical in form
Angle Bisector: A line or ray that splits an angle into two congruent parts

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Solve for b:

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complementary = 90
supplementary = 180
When solving you are going to put the equation equal to either 90 or 180 according to the problem.

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You are going to put 122 + b = 180 to retrieve your answer of 65.

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Vertical Angles: Pairs of opposite angles formed by intersecting lines
Vertical Angles Theorem: Angles that are vertical to one another are congruent (equal to each other)

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Complementary: Two angles whose sum is 90
Supplementary: Two angles whose sum is 180
Linear Pair: Adjacent angles formed by two intersecting lines. These pairs MUST add up to 180

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The Solution to this problem would be x=175. How you solve this problem is you do small + small = whole. so you do 115 + x = 290. then solve from there.

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Find m<XYW if m<WYZ is 115 and m<XYX is 290

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The vertex of the given angle is: B
The sides of the given angles are: AB and BC

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Name the vertex and sides of the given angle

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To find the vertex, you need to look were the two lines meet. To find a side, you look from one end of a line to another.

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Adjacent Angles: Two angles that share a common vertex and side

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Angle: A figure formed by two rays sharing a common endpoint
Vertex: The common endpoint of an angle.
Side: The rays of an angle.