From the circumcentre L of triangle △XYZ, perpendicular LM is drawn on side YZ. If ∠YXZ= 60° then the measure of ∠YLM is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 60°.
∠YXZ= 60°
L is the circumcenter.
Since L is cicumcenter, ∠YLZ = 2 × ∠YXZ = 120°
Now, YL = LZ, the radius of the circumcircle.
So, ∠LYZ = ∠LZY = 30°
In triangle YLM
Now, ∠YLM = 180° - (90° + 30°) = 180° - 120° = 60°
Hence the value of ∠YLM is 60°.