1 / 3

Find the Value of x in the Diagram | Special Angles in Geometry

Calculate the value of x in a diagram where angles AEC and BED are given in terms of x. Utilize special angle relationships and theorems involving pairs of angles. Understand vertical angles, complements, and supplements to solve for x.

tara-henderson
Download Presentation

Find the Value of x in the Diagram | Special Angles in Geometry

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. Do Now 10/2/09 D A In the diagram below, AB and CD intersect at E, (m) Angle AEC = 6x -20 and the (m) Angle BED is 4x + 10. Find the value of x. (4x + 10) (6x -20) E B C

  2. Answer Special Angle Relationship Property: Vertical Angles Therefore, 6x-20 = 4x+10 +20 = +20 6x = 4x +30 -4x = -4x 2x = 30 x = 15

  3. Theorems involving Pairs of Angles Thm: 4.3 If two angles are complements of the same angle, then they are congruent. Thm: 4.4 If two angles are congruent, then their complements are congruent. Thm: 4.5 If two angles are supplements of the same angle, then they are congruent. Thm: 4.6 If two angles are congruent, then their supplements are congruent.

More Related