Parallel lines A and B are crossed by line C, angle 1 is 47 °. Find corner two.

As you know, if two parallel lines a and b are intersected by a secant c, then 8 angles are formed. According to the statement of the assignment, angle 1 is 47 °. Requires: “Find corner two.” Since such a schematic image with the numbering of angles has not reached us, we will find the degree measure of all angles from 2 to 8, according to our designations of the angle numbers.
Let’s use the following properties of angles. If two parallel straight lines are crossed by a secant, then: 1) the vertical angles are equal; 2) the sum of adjacent angles is 180 °; 3) the corresponding angles are equal.
Angles 1 and 2 are adjacent, therefore, ∠1 + ∠2 = 180 °. Therefore, ∠2 = 180 ° – 47 ° = 133 °.
Corners 1 and 3 are vertical. Therefore, ∠1 = ∠3 = 47 °. Likewise, corners 2 and 4 are vertical. Hence, ∠4 = ∠2 = 133 °.
The rest of the angles are defined using: angles 2 and 5; 3 and 6; 4 and 7, 1 and 8 are respectively. We have: ∠5 = ∠2 = 133 °; ∠6 = ∠3 = 47 °; ∠7 = ∠4 = 133 °; ∠8 = ∠1 = 47 °.