Question

Please help me with this math question

Answer 1

`x=140\degree`

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`