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

Solution:

finding the value of x when UW is the angle bisector

Given, mVUW = (4x + 6)°

mWUT = (6x - 10)°

We have to find the value of mWUT.

Ray UW is the angle bisector of VUT.

Angle bisector is a line that splits an angle into two equal angles.

Bisect means to divide into two equal parts.

Therefore, mVUW = mWUT

(4x + 6)° = (6x - 10)°

4x - 6x = -10 - 6

-2x = -16

x = 8°

Now put the value of x in mWUT 

(6x - 10)° = (6(8) - 10)°

= 48 - 10

= 38°

Therefore, the measure of mWUT = 38°

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

Summary:

If mVUW = (4x + 6)° and mWUT = (6x - 10)°, the value of mWUT is 38°.

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