Question

What is the value of x?

Answer 1

C. 70°

Explanation:

93 is as internal angle the supplementary angle to the external angle at that point (together they are 180°).

the sum of the exterior angles of a polygon is 360°.

we have here

52°

180-93 = 87°

x+3

78

x

so,

52 + 87 + 78 + x + 3 + x = 360

220 + 2x = 360

2x = 140

x = 70°

Answer 2

C

Explanation:

the sum of the exterior angles of a polygon = 360°

the exterior angle to 93° = 180° - 93° = 87°

summing the exterior angles and equating to 360

x + 52 + 87 + x + 3 + 78 = 360 , that is

2x + 220 = 360 ( subtract 220 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70