A trick to solve these kind of problems would be...
SOHCAHTOA
Some Old Hippy Caught Another Hippy Tripping On Acid
Aka
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Then your answer to find Sin Z...
You're looking for an angle measurement so you're going to use an inverse operation.
You'd do...
Sin = 24/40
24/40 = .6
Then you'd use your inverse so...
Z°= Sin^-1(.6)
Z = 36.8698°
Rounding
Z = 36.870°
If you're using a scientific calculator. Make sure to put your calculator in degree mode to find the angle measurements and in radians to find missing side lengths.
the only like-terms are on the right-hand-side, since the left-hand-side has only 1 term anyway.
For this case, we have that by definition:
<em>The supplementary angles are those that in pair add up to 180 degrees.
</em>
On the other hand, a linear pair is a pair of adjacent angles formed when two lines intersect each other.
By definition, <em>the two angles of a linear pair are always supplementary, this means that their measurements add up to 180 degrees.
</em>
Answer:
The two angles of a linear pair are always supplementary
The sum of their ages equals 80.
Gabrielle is 3 times older than Mikhail
Two numbers that have a sum of 80, with one number being 3 times the other are:
Gabrielle’s age: 60
Mikhail’s age: 20
60 + 20 = 80
20 x 3 = 60
Mikhail is 20 years old.
