Given the triangle below what would be the measure in degrees of

∠B = 52°

Step-by-step explanation:

Since we know that the sum of all inner angles of the triangle equal to 180°, then we can make the following equation,

5x + 3x + 2x + 20 = 180

10x = 180 - 20

10x = 160

x = 160 / 10

x = 16

Since we know that ∠B = (2x + 20)°, we can calculate the following

∠B = (2x + 20)°

∠B = (2(16) + 20)°

∠B = (32 + 20)°

∠B = 52°

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."