In a triangle XYZ, C is circumcenter of this triangle, ∠Y = 50 degree and ∠Z =70 degree. What is the value of ∠YCZ ?
Answer & explanation
Correct answer: option 1
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 \({120}^\circ\)