If manglevuw = (4x + 6)° and manglewut = (6x – 10)°, what is the measure of anglewut? 32° 38° 48° 76°

Option B is correct. The measure of angle WUT given that angle VUW = (4x + 6)° and angle WUT = (6x – 10)° is 38 degrees

An angle is formed from the intersection of two lines

Given that Ray UW is the angle bisector of VUT, this means that:

Given the following parameters

<VUW = (4x + 6)°

<WUT = (6x – 10)°

Equating both expressions to get the value of x

4x + 6 = 6x - 10

Collect the like terms

4x - 6x = -10 - 6

-2x = -16

x = 16/2

x = 8

Get the measure of the angle WUT

m<WUT = 6x - 10

m<WUT = 6(8) - 10

m<WUT = 48 - 10

m<WY=UT = 38degrees

Hence the measure of angle WUT given that angle VUW = (4x + 6)° and angle WUT = (6x – 10)° is 38 degrees

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The question is incomplete the complete question is

Ray UW is the angle bisector of VUT.

If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?

32°

38°

48°

76°

Therefore,

Step-by-step explanation:

Given:

Ray UW is the angle bisector of VUT.

mAngle VUW = (4x + 6)° and

m AngleWUT = (6x – 10)°

To Find:

Angle WUT = ?

Solution:

Angle Bisector: A line that splits an angle into two equal angles is called angle bisector.

Bisect means to divide into two equal parts.

Ray UW is the angle bisector of VUT.  .....Given

Therefore,

Substituting the values we get

Now Substituting 'x' value in angle WUT we get

Therefore,