Question

Please help me with this math question

Answer 1

Answer:

$x=140\degree$

Step-by-step explanation:

The tangents meet the circle at right angles.

The sum of angles in a quadrilateral is 360 degrees

The two given angles will therefore add up to 180 degrees.

This implies that;

$x+40\degree=180\degree$

We solve for x to obtain:

$x=180\degree-40\degree$

This simplifies to

$x=140\degree$

$\therefore x=140\degree$