M is the incentre of the ΔXYZ. If ∠YXZ + ∠YMZ = 150 degree, then what is the value of ∠YXZ ?

40 degree

\(\angle\)YXZ + \(\angle\)YMZ = 150

\(\angle\)YMZ = 150 -  \(\angle\)YXZ

M is the incentre.

\(\angle\)YMZ = 90 + \(\angle\)YXZ/2

150 - \(\angle\)YXZ = 90 + \(\angle\)YXZ/2

60 = 3 \(\angle\)YXZ/2

\(\angle\)YXZ = \({40}^\circ\)

Therefore, \(\angle\)YXZ is \({40}^\circ\).