Question

Point O is the center of the circle what is the value of x

Answer 1

The measure of angle x is
`34\°`

Explanation:

we know that

The triangle OPQ is a right triangle, because the tangent PQ is perpendicular to the radius OQ

`m<POQ=180\°-2*(62\°)=56\°` ----> because the smaller triangle of the figure inside the triangle OPQ is an isosceles triangle

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

In the right triangle OPQ

`56\°+90\°+x\°=180\°`

`x=180\°-(56\°+90\°)=34\°`