M is the incentre of the ΔXYZ. If ∠YXZ + ∠YMZ = 150 degree, then what is the value of ∠YXZ ?
Answer & explanation
Correct answer: option 1
\(\angle\)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 \({40}^\circ\).