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.
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Here are the solutions for each figure: 1.4.1 The two given angles are alternate interior angles. 125^ = 125^ Since the alternate interior angles are equal, the lines are parallel. Answer: Yes Reason: Alternate interior angles are equal. 1.4.2 The two given angles are corresponding angles. 68^ = 68^ Since the corresponding angles are equal, the lines are parallel. Answer: Yes Reason: Corresponding angles are equal. 1.4.3 The two given angles are consecutive interior angles (co-interior angles). 85^ + 95^ = 180^ Since the consecutive interior angles sum to 180^, the lines are parallel. Answer: Yes Reason: Co-interior angles sum to 180^. 1.4.4 The two given angles are consecutive exterior angles. 43^ + 143^ = 186^ Since the consecutive exterior angles do not sum to 180^, the lines are not parallel. Answer: No Reason: Co-exterior angles do not sum to 180^. Send me the next one 📸