Answer:
43 degrees for the first problem
Step-by-step explanation:
On the first problem we see, we are given that one angle is 231 degrees. After counting the sides of this shape, we see it is a 4-sided quadrilateral. This means that the total amount of degrees in this shape equals 360 degrees. Since each unknown degree is represented by the same value (w), we can deduce that all of these unknown angles are equal to each other.
Let's set up our problem now.
360 degrees = the amount of degrees in a quadrilateral
231 degrees = the given amount of degrees we have so far
In order to see how many degrees we have left in the quadrilateral, let's subtract the number degree we already know from the total degree number that we know: 360 - 231 = 129
Now we see that the remaining three angles have a total of 129 degrees. This doesn't mean we're done.
3 congruent angles together = 129 degrees
We need to find the degree of a single unknown angle now. This can be done by simply dividing the mass total of the three congruent angles by the amount of congruent unknown angles there are.
129/3 = 43
Our final answer is 43 degrees.
