Question

Help me asap please how to find the measure of angle c​

Answer 1

Answer: Angle C measures 132.5 degrees

Step-by-step explanation: What we have here is an irregular polygon with six sides. Two sides have been identified as 90 and 130. And the other sides are yet unknown. We shall start by computing the total sum of the interior angles of the six sided polygon.

The formulae for computing the interior angles of a polygon is given as (n - 2) x 180,

Where n stands for the number of sides of the polygon

Therefore in this diagram, sum of the interior angles equals

(6 - 2) x 180

= 4 x 180

= 720 degrees

That means the addition of all the given angles equals 720. This can be expressed as follows;

90 + 130 + (x + 10) + x + x + x = 720

220 + x + 10 + 3x = 720

By collecting like terms we now have

4x = 720 - 220 - 10

(Note that if a positive value crosses to the other side of an equation it becomes negative and vice versa)

4x = 490

Divide both sides of the equation by 4

x = 122.5

Therefore, since angle C is (x + 10)

C = 122.5 + 10

C = 132.5 degrees