The measure of angle b is 65.8°. find the measure of the complement and supplement of angle b.

The fourth choice

24.2° and 114.2°

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

*a trick to remember this is to know that C is before S in the alphabet, and 90 is before 180, so Complementary is 90 and Supplementary is 180

Step 1:  Find the complementary angle

  Take 90° and subtract the give angle to find the angle you would need...

       90° - 65.8° = 24.2°

Step 1:  Find the supplementary angle

  Take 180° and subtract the give angle to find the angle you would need...

       180° - 65.8° =  114.2°

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."