The interior angle of a pentagon are y+13,y+15,y+29,y+40.find the value of each interior angles

Answer 1

To find the value of each interior angle, we know that the sum of the interior angles of a pentagon is equal to 540 degrees.

So, we can set up an equation:

(y+13) + (y+15) + (y+29) + (y+40) = 540

Combine like terms:

4y + 97 = 540

Subtract 97 from both sides:

4y = 443

Divide by 4:

y = 110.75

Now that we have the value of y, we can find the value of each interior angle:

y+13 = 110.75 + 13 = 123.75 degrees
y+15 = 110.75 + 15 = 125.75 degrees
y+29 = 110.75 + 29 = 139.75 degrees
y+40 = 110.75 + 40 = 150.75 degrees

Therefore, the value of each interior angle is 123.75 degrees, 125.75 degrees, 139.75 degrees, and 150.75 degrees.