Question

If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT? 32° 38° 48° 76°

Answer 1

Answer:

38°

Step-by-step explanation:

According to the given case, there exists a triangle having vertices 'U','V,' and 'W'. Now as we are given that:

AngleVUW(that is angle at vertex U) = (4x+6) and,

AngleWUT(that is the angle at vertex U again) = (6x+10).

Now if both are same Angles as they both are at vertex U then;

4x+6 = 6x-10;

Now for x:

2x = 16

x = 8;

Now again angle at vertex U is demanded so, put this (-2) at any of the above expressions as:

mAngleWUT = 4x+6

Put x= 8; and,

mAngleWUT = 4(8)+6 = 38