Question

Find the value of x in the following figure. Show equations and work that lead to your answer.

Answer 1

Answer:

x=7

Step-by-step explanation:

We have been given all exterior angles of a quadrilateral which is a polynomial having 4 sides

We know that sum of all exterior angles of a regular polygon is always 360 degree.

So we can all given exterior angles and set it equal to 360

(12x+37)+(12x-2)+(46)+(20x-29)=360

12x+37+12x-2+46+20x-29=360

12x+12x+20x+37-2+46-29=360

44x+52=360

44x=360-52

44x=308

divide both sides by 44

x=7

Hence final answer is x=7.