Answer:
Step-by-step explanation:
The picture given in the exercise shows a Quadilateral which has an angle whose measure is unknown.
By definition, the sum of the interior angles of a quadrilateral is 360 degrees.
Knowing this, you can write the following equation:
Finally, you must solve for the angle "x" in order to calculate its measure.
This is:
First solve the congruence . Euclid's algorithm shows
330 = 25 * 13 + 5
13 = 2 * 5 + 3
5 = 1 * 3 + 2
3 = 1 * 2 + 1
=> 1 = 127 * 13 - 5 * 330
=> 127 * 13 = 1 mod 330
so that is the inverse of 13 modulo 330. Then in the original congruence, multiplying both sides by 127 twice gives
Then any integer of the form is a solution to the congruence, where
is any integer.