Question

Find the value of x.
please explain because I'm confused ​

Answer 1

x = 40°

Step-by-step explanation:

The shape is a pentagon. Any polygon's exterior angles sum up to 360°.

Now, they all sum up to 360° :

⇒ (x + 35) + (x + 15) + (2x - 20) + 2x + 90 = 360°

⇒ x + x + 2x + 2x + 35 + 15 -20 + 90 = 360°

⇒ 6x + 120° = 360°

⇒ 6x = 360° - 120°

⇒ 6x = 240°

⇒ x = 240°/6

⇒ x = 40°

Answer 2

40

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. This relation lets you write an equation for x.

__

Clockwise from the bottom, the sum of exterior angles is ...

90° +(x +35)° +(x +15)° +(2x -20)° +(2x)° = 360°

120° +6x° = 360° . . . . . . . simplify

6x = 240 . . . . . . . . . . divide by °, subtract 120

x = 40 . . . . . . . . . . divide by 6

The value of x is 40.