In the diagram below, WXZ is a right angle. If mWXV is eleven more than three times mWXY and mYXV = 139°, find mYXZ.

∠YXZ=58°

Triangles are flat fields bounded by 3 intersecting sides and 3 angles

This side can be the same length or different.

If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle

∠WXV+∠WXY=∠YXV

∠WXV+∠WXY=139°

∠WXV=11+(3.∠WXY)

11+(3.∠WXY)+∠WXY=139°

11+4∠WXY=139°

4∠WXY=128°

∠WXY=32°

∠WXY+∠YXZ=90°

32°+∠YXZ=90°

∠YXZ = 90°-32°=58°