Question

3 times the complement of an angel is equal to one half of its supplement how large is the angel

Answer 1

u mean angle?

Answer 2

yes sorry.

Answer 3

Well...you know complementary angles add to 90 degrees....and supplementary add to 180 degrees

So

3 times the complement of an angle....let the angle = x....so (90 - x) would be the compliment.....3 times that = 3(90 - x)

is equal to half the supplement of that angle...again the angle is x...that is (180 - x) so half that is ((180 - x)/2)

Now set them equal to each other...

\[\large 3(90 - x) =\frac{180 - x}{2}\]

Multiply both sides by 2

\[\large 6(90 - x) = 180 - x\]

Distribute that 6...

\[\large 540 - 6x = 180 - x\]

Add x to both sides...

\[\large 540 - 5x = 180\]

Subtract 540 from both sides...

\[\large -5x = -360\]

Divide both sides by -5

\[\large x = \frac{-360}{-5} = \space ? \]

Answer 4

so its 72 .. thanks a lot.

Answer 5

No problem!