Question

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?

Answer 1

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°