Question

10. Find the value of x ​

Answer 1

Answer:

Value of x is 57°

Step-by-step explanation:

(If am not wrong, as the pic is blurred, the given values of angles are 87°, 94° and x inside the quadrilateral and 58° outside the quadrilateral)

Let the adjacent angle to angle 58° be y

58° + y = 180° (linear pair)

         y = 180° - 58°

         y = 122°

Value of x,

   87 + 94 + y + x = 360 (Angle sum property of a quadrilateral)

87 + 94 + 122 + x = 360

               303 + x = 360

                         x = 360 - 303

                            = 57°

Verification:- (verify whether all the angles inside the quadrilateral equals to 360° -- Angle sum property of a quadrilateral)

87 + 94 + 122 + 57

= 181 + 179

= 360°