Answer:
(_11)×15 please help help me me my question solve please
Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
Answer:
11. AW║BY
12. DX║YZ
13. AW║YZ
14. AW║DZ
Step-by-step explanation:
11. If alternate interior angles are congruent, the lines the transversal crosses are parallel.
12. The sum ∠5+∠6 is an alternate interior angle with ∠10. The reasoning of problem 11 applies.
13. If same-side interior angles are suppplementary, the lines the transversal crosses are parallel.
14. Lines perpendicular to the same line are parallel.
