1 / 2

Finding Angle Measures Using Angle Bisectors and the Angle Addition Postulate

In this exercise, we explore angle measures with the help of bisectors and the Angle Addition Postulate. Given that line segment YW bisects angle XYZ and mXYW is 18°, we find that mXYZ equals mXYW plus mWYZ. Since YW bisects XYZ, mXYW equals mWYZ, leading to mXYZ being computed as 18° + 18° = 36°. Additionally, in Guided Practice 7, we analyze angle MNP, a straight angle, which is bisected by line segment NQ. We will illustrate the angles and determine the measures of the congruent angles formed.

barclay-young
Download Presentation

Finding Angle Measures Using Angle Bisectors and the Angle Addition Postulate

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. In the diagram at the right, YWbisects XYZ, and mXYW = 18. Find m XYZ. o By the Angle Addition Postulate, m XYZ =mXYW + m WYZ. BecauseYW bisects XYZyou know thatXYW WYZ. So, m XYW = m WYZ, and you can write m XYZ = m XYW + m WYZ = 18° + 18° = 36°. ~ EXAMPLE 5 Double an angle measure SOLUTION

  2. ANSWER 90° for Example 5 GUIDED PRACTICE 7. Angle MNPis a straight angle, and NQbisects MNP. Draw MNP And NQ. Use arcs to mark the congruent angles in your diagram, and give the angle measures of these congruent angles.

More Related