Given that ray EU is an angle bisector,find x given that <SEU=8x-11.
EU bisects what angle?
EU bisects Angle SEN
That helps but have to know SEN
all I know is SEN = 16 x -22
SEN is a 90 degree angle
LOL - See what I mean? You are giving us half the problem usually.
90 = 16 x - 22
16 x = 112
x = 7
are all the answers 7 ?
Sorry about that.Thanks for the help.
No I don't think all the answers are 7 but thanks though and sorry again about that
To find the value of x, we need to use the fact that ray EU is an angle bisector.
An angle bisector divides an angle into two congruent angles. So, if ray EU is an angle bisector, it means that angle SEU is divided into two equal angles, which are SEU and UEU.
Let's denote the measure of angle SEU as y. Therefore, the measure of angle UEU is also y.
According to the given information, the measure of angle SEU is given as 8x - 11.
Since angle SEU is divided into two congruent angles, we can set up an equation:
8x - 11 = y
But we also know that y is equal to the measure of angle UEU.
So, we can write another equation:
8x - 11 = y = UEU
Now, we can solve for x by setting the expressions for y equal to each other:
8x - 11 = UEU
Since the measure of angle UEU is equal to y, we can substitute y with 8x - 11:
8x - 11 = 8x - 11
This equation is an identity, which means that it is true for all values of x.
As a result, x can be any real number, and the measure of angle SEU will still be 8x - 11.