The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through
each of the parallel segments. A sketch of two parking spaces is shown below. 2 diagonal parallel lines are cut by a horizontal transversal. Where the first parallel line intersects the transversal, the top right angle is angle 1. Where the second parallel line intersects the transversal, the top left angle is angle 2. If m∠2 = 115°, what is m∠1?
2 answers:
Answer:
65°
Step-by-step explanation:
The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).
Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:
m∠1 + m∠2 = 180°
m∠1 + 115 = 180
m∠1 = 180 - 115
m∠1 = 65°
You might be interested in
Answer:
best completes this argument
Step-by-step explanation:
Circumference of circle =
Where d is the diameter of circle
We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to
So, Number of sectors =
The arc length of each sector is the circumference divided by the number of sectors
Diameter d = 2r (r = radius)
Option b is true
Hence best completes this argument