devthesoccerplayer devthesoccerplayer
  • 02-03-2024
  • Mathematics
contestada

In a heptagon, the degree measures of the interior angles are $x, ~x, ~x-2, ~x-2,
~x + 2, ~x + 2$ and $x + 4$ degrees. What is the degree measure of the largest interior angle?

Respuesta :

oriboy123
oriboy123 oriboy123
  • 02-03-2024

Answer:

132°

Step-by-step explanation:

Assuming $x, ~x, ~x-2, ~x-2, ~x + 2, ~x + 2$ and $x + 4$ is x, x, x - 2, x - 2, x + 2, x + 2, and x + 4

Sum of interior angles in a heptagon: 900°

x + x + x − 2 + x − 2 + x + 2 + x + 2 + x + 4 = 900°

7x + 4 = 900

7x = 896°

x = 896° / 7 = 128°

Largest angle = x + 4 → 128° + 4 = 132°

Answer Link

Otras preguntas

What is the slope of the hypotenuses of the triangles in simplest form?
what did the treaty of nanjing do?
Which writer influenced the development of the New Journalism movement in the United States?
Discuss the importance of a business plan. Briefly describe each of the sections in a typical business plan.
26 foot long painting is how many yards long
"The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth. "
What's the missing factor 4,6,9,14,?,49
Which of these strategies ensures soil quality for the next growing season? digging irrigation canals using crop rotation enclosing animals in fences findin
Are the two triangles below similar?
One reason the colonists had difficulty coming together t revolt against Britain is because they: A. wanted their own parliament first B. could not survive with