*** PLS HELP ASAP (14 points)

two triangles were required to construct the figure below.

what is the sum of the measures of the interior angles of this figure?

1. 136°
2. 272°
3. 360°
4. 720°​

PLS HELP ASAP 14 pointstwo triangles were required to construct the figure belowwhat is the sum of the measures of the interior angles of this figure1 1362 272 class=

Respuesta :

Answer:

Option 3. 360°

Step-by-step explanation:

we know that

The sum of the measures of the interior angles of triangle is equal to 180 degrees

The figure has two triangles

therefore

[tex]2(180\°)=360\°[/tex]

Alternative Method

The formula to calculate the sum of the measures of the interior angles of a polygon is equal to

[tex]S=180(n-2)[/tex]

where

n is the number of sides of the polygon

In this problem we have a a quadrilateral

so

n=4

substitute

[tex]S=180(4-2)[/tex]

[tex]S=180(2)[/tex]

[tex]S=360\°[/tex]

Answer:

360

Step-by-step explanation: