The measure of an angle is 17 times the measure of its complementary angle what is the measure of each angle

First, write an equation system for the problem

For example, x represents the first angle and y represents the second angle

An equation for "the measure of an angle is seventeen times the measure of a complementary angle" is

∴ x = 17y

The sum of complementary angle is 90°. It can be written as

∴ x + y = 90°

Second, use subtitution method to find the value of x and y

Subtitute x with 17y

x + y = 90°

17y + y = 90°

18y = 90°

y = 90°/18

y = 5°

Subtitute y with 5°

x = 17y

x = 17(5)

x = 85°

The measure of each angle is 5° and 85°

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."

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.