Question

In ABC what is the measure of C

Answer 1

C = 36

To solve this equation, you know what each angle is equal to, and all triangles add to equal 180 degrees, so you can set it up like so:


6x + 2x + 2x = 180 Then combine all the x's and simplify by dividing.

Answer 2

36 °

Explanation:

Hello

In geometry an interior angle or an internal angle is an angle formed by two sides of a polygon that sharing a common end is contained within the polygon, and the sum of these angles is given by

sum=(n-2)*180°

where n is the number of sides of the polygon,in our case n= 3 (a triangle)

Step 1

find the sum o internal angles

sum=(3-2)*108°

sum=1*180°

(1)sum=180°

step 2

find x

now, according to the graph the sum of internal angles is

sum(graph)=6x+2x+2x

(2)sum=10x

(1) must be equal to (2)

180°=10x

isolating x

x=18

Step 3

find C

by the graph ,we know

C=2x

and x=18

replacing

C=2(18)

C=36°

Have a great day