Answer:
The measure of angle x is [tex]34\°[/tex]
Step-by-step explanation:
we know that
The triangle OPQ is a right triangle, because the tangent PQ is perpendicular to the radius OQ
[tex]m<POQ=180\°-2*(62\°)=56\°[/tex] ----> 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
[tex]56\°+90\°+x\°=180\°[/tex]
[tex]x=180\°-(56\°+90\°)=34\°[/tex]
