Question

Find the missing angle

Answer 1

Answer:

x=146⁰

Step-by-step explanation:

The sum of angles in an n-gon (polygon with n interior angles) is (n-2)*180. Therefore since we have here a heptagon, the missing angle can be calculated as (7-2)*180⁰ - (96⁰+105⁰+161⁰+123⁰+155⁰+114⁰) = 900⁰-754⁰= 146⁰.

Answer 2

Answer:

x =146

Step-by-step explanation:

The figure has 7 sides.  We can find the sum of the angles by using the formula

(n-2) * 180   where n is the number of sides

(7-2)*180

5 * 180

900

The sum of the angles is 900

Adding the angles

x + 96+ 105+161+123+155+114 = 900

Combine like terms.

x+754= 900

x = 900-754

x =146