ANSWER
The correct answer is C .
<u>EXPLANATION</u>
We have
and
.
We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for .
We first multiply equation (2) by 2
.
We add equation (3) and (1).
.
Dividing through by 6 gives
.
Answer:
The measure of one angle is , and the measure of the other one is
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders
We need to find the measure of two such angles whose difference is precisely .
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:
We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":
So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":