This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the completed statements and calculations: Worksheet 13 B 12. 3 = 7, because they are corresponding angles and AB || CD. 13. 5 = 7, because they are vertically opposite angles. 14. 1 = 5, because they are corresponding angles and AB || CD. 15. 4 = 5, because they are alternate angles and AB || CD. 16. 3 + 5 = 180^, because they are co-interior angles and AB || CD. 17. 5 + 6 = 180^, because they are adjacent angles on a straight line EF. 18. 5 + 8 = 180^, because they are adjacent angles on a straight line CD. 19. 1 + 2 + 3 + 4 = 360^, because they are adjacent angles around a point (revolution). 20. 5 + 6 + 7 + 8 = 360^, because they are adjacent angles around a point. Worksheet 13 C 5. The angles x and 128^ are angles on a straight line, so their sum is 180^. x + 128^ = 180^ x = 180^ - 128^ x = 52^ 7. The angle x and the right angle (90^) are vertically opposite angles. Vertically opposite angles are equal. x = 90^ 9. The 40^ angle and the angle corresponding to x are supplementary. The angle corresponding to 40^ (exterior, upper-left) is the exterior angle in the lower-left position. Let's call this angle y. So y = 40^. The angles x and y are consecutive exterior angles, which are supplementary. x + 40^ = 180^ x = 180^ - 40^ x = 140^ 11. The angles 5x and 130^ are alternate interior angles. Since the lines are parallel, alternate interior angles are equal. 5x = 130^ x = (130^)/(5) x = 26^ That's 2 down. 3 left today — send the next one.