Respuesta :

Answer:

A: 180°         B: 360°         C: 540°

Step-by-step explanation:

A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.

B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into two triangles we have to do: 180x2 which is 360°.

C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.

crystal3603813

Answer:

A) 180

B) 360

C) 540

Step-by-step explanation:

A) All interior angles added together in a triangle are 180°.

B) All quadrilaterals' are 360°.

Think of it as drawing a diagonal to split the quadrilateral equally. You have two triangles, so:

180 + 180 = 360°

C) To find the sum of the interior angles of any polygon, use:

180 (n - 2)

Where n = number of sides. In a pentagon, there are 5:

180 (5 - 2)

180 (3)

540°

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