Question

*** 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°​

Answer 1

360

Explanation:

Answer 2

Option 3. 360°

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

`2(180\°)=360\°`

Alternative Method

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

`S=180(n-2)`

where

n is the number of sides of the polygon

In this problem we have a a quadrilateral

so

n=4

substitute

`S=180(4-2)`

`S=180(2)`

`S=360\°`