1 / 5

Angles: Setting up Equations

Angles: Setting up Equations. Right Angles. Complementary angles: Set equation equal to 90. 3x+7. 4x+13. Add the two expressions. (3x + 7) + (4x +13) = 90. 7x + 20 = 90 -20 -20 7x = 70 x = 10. Combine like terms: 7x + 20 = 90. Solve for x:.

henry-pittman
Télécharger la présentation

Angles: Setting up Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Angles: Setting up Equations

  2. Right Angles Complementary angles: Set equation equal to 90. 3x+7 4x+13 Add the two expressions. (3x + 7) + (4x +13) = 90 7x + 20 = 90 -20 -20 7x = 70 x = 10 Combine like terms: 7x + 20 = 90 Solve for x:

  3. Perpendicular Lines A Same as Complementary: adds to 90 degrees. AB __BC ABD = 7x+2 DBC = 5x+4 Set up the equation: 7x+2 + 5x+4 = 90 Combine Like Terms: 12x +6 = 90 Solve. D 7x+2 5x+4 B C

  4. Supplementary Angles Supplementary Angles are along a straight line. Add to 180 degrees. 5x+7 3x+13 • Set up: 5x+7 + 3x+13= 180 • Combine: 8x +20 =180 • Solve: -20 -20 • Divide: 8x = 160 • x = 20

  5. Vertical Angles With vertical angles, the ones across from each other are equal. E D 9x-4 7x+10 B 9x - 4 = 7x +10 A C Variables on different sides of the equation. 9x – 4 = 7x + 10 -7x -7x 2x – 4 = 10 +4 +4 2x = 14 x= 7

More Related