Circle Theorems

$X\,$ and $Z\,$ are points on the circumference of a circle, centre $O$ . $XY\,$ and $ZY\,$ are tangents to the circle.

Angle $44^\circ$

Radii $OX\,$ and $OZ\,$ connect the centre to the points of tangency.

Find the size of angle $O X Z$ .

Give reasons for each stage of your working.

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$X\,$ and $Z\,$ are points on the circumference of a circle, centre $O$ . $XY\,$ and $ZY\,$ are tangents to the circle.

Angle $44^\circ$

Radii $OX\,$ and $OZ\,$ connect the centre to the points of tangency.

Find the size of angle $O X Z$ .

Give reasons for each stage of your working.

[4]

Circle Theorems Questions