Sarah angles of a pentagon are (y + 13°), (y + 15°) (y+ 29°) and (y + 40°). Find the value of y and find the value of each interior angles

Answer 1

The sum of the interior angles of a pentagon is 540 degrees. Therefore, we can set up an equation to find the value of y:

(y + 13) + (y + 15) + (y + 29) + (y + 40) + (y) = 540
5y + 97 = 540
5y = 443
y = 443 / 5
y = 88.6

Now that we have found the value of y, we can substitute it back into each expression to find the value of each interior angle:

First interior angle: y + 13 = 88.6 + 13 = 101.6°
Second interior angle: y + 15 = 88.6 + 15 = 103.6°
Third interior angle: y + 29 = 88.6 + 29 = 117.6°
Fourth interior angle: y + 40 = 88.6 + 40 = 128.6°

Thus, the value of y is 88.6 and the interior angles of the pentagon are 101.6°, 103.6°, 117.6°, and 128.6°.

Answer 2

What is the sum of an angle on a pentagon

Answer 3

The sum of the interior angles of any polygon can be found using the formula:

Sum of interior angles = (n - 2) * 180 degrees

Where n is the number of sides of the polygon.

For a pentagon (which has 5 sides),

Sum of interior angles = (5 - 2) * 180
= 3 * 180
= 540 degrees

Therefore, the sum of the interior angles of a pentagon is 540 degrees.