Question

18. Calculate 'x' in the given figure, where PA and PB are tangent
​

Answer 1

$x=25\\\\\\angleP=2x$

           $= 2(25)\\\\=50$

∠A+∠B+∠O+∠P=180

Answer 2

Answer:

<OAP=<OBP=90°[The radius of the tangent and the tangent to the tangent are perpendicular to each other.]

OABP is a Quadrilateral then,

130°+90°+90°+2x=360°[The sum of the four angles of the quadrilateral is 360 degrees]

• 2x=360-310
• x=50/2
• x=25

The value of x is 25° .

Hope you understand