Question

The measure of an angle is three more than twice its supplement. What is the measure of the angle?

Answer 1

@Hero

Answer 2

The sum of an angle and its supplement is 180 degrees.


\(\angle{1} + \angle{2} = 180\)

Answer 3

Let:
\(\angle{1} = x\)
\(\angle{2} = 2x + 3\)

Answer 4

Let x = smaller angle
Let 2x+6 be the larger angle

The angles are complementary, so their sum is 90°

Therefore....
x + (2x+6) = 90
3x + 6 = 90
3x = 84
x = 84/3 = 28

So the smaller angle measures 28° and the larger angle measures 62°; as a check, note that they add up to 90°




ANSWER
28° and 62°

Answer 5

Where'd the 6 in 2x + 6 come from?

Answer 6

@trina88

Answer 7

is it supposed to be 3 instead of 6?

Answer 8

Of course. For example Suppose you are 15 years old and suppose your mom's age is 3 more than twice your age, then she'd be 33 years old.

Answer 9

i see, it makes sense...
so was @trina88 right with the equation part? can i just plug in 3 instead of 6?

Answer 10

Supplementary and complementary do not mean the same thing.