SOLUTION: What is the complementary angle of (x+3)

Question 1017828: What is the complementary angle of (x+3)

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
two angles are complementary if their sum is 90 degrees.

if their sum is 90 degrees, then one of the angles is equal to 90 - the other angle.

for example:

30 + 60 = 90, therefore 30 and 60 are complementary.

30 = 90 - 60, therefore one of the angles (30) is equal to 90 - the other angle (60).

likewise 60 = 90 - 30.

in general:

if a + b = 90, then b = 90 - a and a = 90 - b.

your problem states to find the complementary angle of x + 3.

let y be that angle.

in order to be complmentary to x + 3, y would have to be equal to 90 - (x + 3)

y = 90 - (x + 3) becomes y = 90 - x - 3 which becomes y = 87 - x.

the complementary angle to x + 3 is equal to 87 - x.

if these angles are complementary, then their sum is 90 degrees.

x + 3 + 87 - x is equal to 90, therefore the angles are complementary.

your solution is that the angle that is complementary to x + 3 is 87 - x.

RELATED QUESTIONS
what is the complementary angle of 32 3/4 ? (answered by macston)

What is the complementary angle of... (answered by rfadrogane)

what is the complementary angle of... (answered by Alan3354)

what is the complementary angle of 110 degree... (answered by Alan3354)

an angle measuring 16 degrees and an angle measuring x degrees are complementary. what is (answered by macston)

Angle x and angle y are complementary. Angle x is supplementary to a 128 degree angle.... (answered by ewatrrr)

the measure of two complementary angles 2:3.what is the measure of the smaller... (answered by Fombitz)

one complementary angle is half as large as the second complementary angle what is the... (answered by ewatrrr)

The supplementary angle is 30 more than 4 times of a complementary angle. What is the... (answered by TutorDelphia)