What is the interior angle measure of a convex decagon?

The interior angle measure of a convex decagon is 144.

Step-by-step explanation:

The sum of the interior angle formula for a convex polygon is (n-2)180

where n is the number of sides.

A decagon has 10 sides.

10-2 = 8

8 times 180 = 1440

A decagon has 10 sides-10 angles.

To find the measure of each angle divide by 10.

1440/10=144

The interior angle measure of a convex decagon is 144.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."