Two identical circles touch each other externally at point Z. XY is a direct common tangent, which touches the circles at X and Y, respectively. What is the XYZ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 90°.
If two circles touch each other externally at some point and a direct common tangent is drawn to both circles, the angle subtended by the direct common tangent at the point where two circles touch each other is 90°.
∠XZY = 90°