Unit 2- Final Review by Oren Contreras

UNIT 2

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2-1 Introduction to Angles

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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.

2-2 Angle Addition Postulate

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

How To:

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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.

Your Turn:

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Name the vertex and sides of the given angle

Solution:

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

How To:

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Your Turn:

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Find m

Solution:

564184 — 2019-05-10 19:17:23 UTC

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.

2-3 Comp. & Supp. Angles

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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

2-4 Vertical Angles

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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)

Solution:

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

How To:

564184 — 2019-05-14 23:35:49 UTC

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

Your Turn:

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Solve for b:

2-5 Angle Bisectors

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

Your Turn:

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Find the value of x if m

How To:

2019-05-15 00:41:29 UTC

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.

Your Turn:

2019-05-15 00:52:26 UTC

Find the value of "x"

Solution:

2019-05-15 00:52:26 UTC

The answer would be x=7 and m

How To:

570065 — 2019-05-15 01:07:59 UTC

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.

Solution: x=58

570065 — 2019-05-15 02:00:04 UTC

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