524,535 views
16 votes
16 votes
MZTRI 3x - 5, MZIRB = x + 27, and mTRB Does RI bisect TRB?

MZTRI 3x - 5, MZIRB = x + 27, and mTRB Does RI bisect TRB?-example-1
User Bvowe
by
2.9k points

1 Answer

13 votes
13 votes

1) Let's draw that to better understand this

The Bisector Theorem states that the angle bisected is equally divided

since the angle TRB = 86º . Besides that the m TR

To determine whether it does bisect let's set an equation in which x +27 = the half of 86º

x+27 =43

x=16

3x -5 =43

3x =48

x=16

So, RI bisects the angle TRB, for each angle is half of the measure of TRB.

MZTRI 3x - 5, MZIRB = x + 27, and mTRB Does RI bisect TRB?-example-1
User TamusJRoyce
by
3.1k points