Angles

Oh heyyyyy math world!

Today we will be talking about everything angles. Supplementary angles, complementary angles, alternate interior angles, and more- I’m sure you’re thrilled by now right? Honestly, this is probably the subject I’ve struggled the most with in math recently. Whether it be trying to determine an unknown angle degree or the type of angle- I was just lost. But luckily I’ve started to pick up this concept and there’s a few basics I want to share with you today.

To start: supplementary angles.

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Supplementary angles add up to 180º, which makes finding unknown degree values pretty simple.

Next: complementary angles, which add up to 90º.

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Interior Angles: the angles that lie INSIDE the polygon. For extra information on complementary angles, click here.

In order to find the sum of interior angles, use the following formula: (n-2)180. In this formula, n=the number of sides.

Exterior angles: the angles that lie on the outside of the polygon.

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The sum of exterior angles is equal to 360º.

Alternate interior angles: see example below

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Alternate interior angles lie diagonally across from each other on the inside of the polygon and are congruent.

Alternate exterior angles: see example below

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Alternate exterior angles lie diagonally across from each other on the outside of the polygon and are congruent. For more help with this subject, click here.

That’s it for now! Hopefully you find this blogpost to be a good resource to refer to if you find yourself needing a little reminder on what each angle is and how to determine it’s value.

images, Cailee

Resources for this post: https://www.ck12.org/geometry/alternate-exterior-angles/lesson/Alternate-Exterior-Angles-BSC-GEOM/ & https://study.com/academy/lesson/alternate-interior-angles-definition-theorem-examples.html & https://study.com/academy/lesson/alternate-interior-angles-definition-theorem-examples.html & http://www.softschools.com/math/geometry/topics/supplementary_and_complementary_angles/ & https://study.com/academy/lesson/same-side-interior-angles-definition-theorem.html & https://study.com/academy/lesson/same-side-interior-angles-definition-theorem.html & http://www.bbc.co.uk/schools/gcsebitesize/maths/geometry/polygonsrev4.shtml & http://www.mathcaptain.com/geometry/alternate-exterior-angles.htm & https://math.tutorvista.com/geometry/corresponding-angles.html

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Cailee

I'm just a math student trying to make my way through school. I work in a school, volunteer with junior high students, and am constantly trying to get my nieces and nephews think I'm the coolest aunt ever. Hopefully reading about my experiences with math classes will help you (or at least help you feel like you're not alone in the struggle).

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