In a triangle XYZ, C is circumcenter of this triangle, ∠Y = 50 degree and ∠Z =70 degree. What is the value of ∠YCZ ?

120 degree

In triangle XYZ,

\(\angle\)Y = \({50}^\circ\)

\(\angle\)Z = \({70}^\circ\)

Apply angle sum property,

\(\angle\)X =  180 - (50 + 70)

\(\angle\)X = \({60}^\circ\)

Here C is the circumcentre

\(\angle\)YCZ = 2 x \(\angle\)X

\(\angle\)YCZ = 2 x 60

\(\angle\)YCZ = \({120}^\circ\)

Therefore, the answer is \({120}^\circ\)