In Euclidean (standard) geometry, prove: If two lines share a common perpendicular, then the lines are parallel. (You do not nee
d to use axioms of Euclidean geometry in this exercsise, you can use all the standard knowledge about geometry.)
1 answer:
Answer:
Step-by-step explanation:
Standard knowledge about geometry.
Lines can be described as y=mx+b where m is the slope of the line...(1)
Perpendicular lines have perpendicular slopes. Perpendicular slopes are negative reciprocals of each other...(2)
Two lines are parallel ⇔ they have the same slope...(3)
Check the image to read the proof........
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Answer:
Option (A)
Step-by-step explanation:
By applying the theorem angle theorem in the given triangle,
Sum of exterior angle of a triangle is equal to the sum of opposite interior angles of the triangle.
Therefore, 130° = y° + y°
130° = 2y°
y =
y = 65°
Therefore, measure of interior angles 'y' of the given triangle will be 65°.
Option (A) will be the answer.