Question

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

Answer 1

As ray UW bisects ( divides the angles into two equal parts )

WUT = WUV

6x - 10° = 4x + 6°

6x - 4x = 6° + 10°

2x = 16°

x = 16° ÷ 2 = 8°

Putting the value of x in the Angle WUT

6 × 8° - 10° = 48° - 10° = 38°