What is the value of x?

The total value of the exterior angles of a polygon is 360 degrees. To find x, we can add up all of the values of the exterior angles given, set it equal to 360, and solve for x in the equation.

59 + 77 + 66 + 62 + 12x = 360

264 + 12x = 360

12x = 96

x = 8

Hope this helps!! :)

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.