The measure of both the interior angles are 70 and 110 degree.
<h3>What are Parallel Lines ?</h3>
Lines they never intersect with each other and the distance between them always remains same are called parallel lines.
It is given that
Line l and m are parallel lines and are intersected by a transversal ,n
Interior angles of the same side are (2x−8) degree and (3x−7) degree
Applying the property of interior angles of parallel lines
2x -8 + 3x - 7 = 180 degree
5x -15 = 180
5x = 195
x = 39 degree
Both the angles have measure of
2 * 39 - 8 = 70 degree
3 * 39 -7 = 110 degree
Therefore the measure of both the angles are 70 and 110 degree.
The complete question is
Two parallel lines l and m are cut by a transversal n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree , find the measure of each of these angles.
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Answer:
126
Step-by-step explanation:
In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.
(((x / 42) * 8) + 10) = 34 ... subtract 10 from both sides
((x / 42) * 8) = 24 ... divide both sides by 8
(x / 42) = 3 ... multiply both sides by 42
x = 126
Finally, we can see that the initial value was 126
Answer:
1:12 One sketch every 12 minutes. Four Easy Steps Below!
Step-by-step explanation:
The ratio will be sketches:minutes
*We try to find how many minutes it takes him to make 1 sketch, since it's asking for lowest terms!
- find the larger ratio= 5:60 *60 minutes in an hour, we're finding minutes! Convert one hour to minutes*
- 5:60.... Divide 60 by 5. *You're finding the time it takes for one sketch*
- 12
- 1:12 1 sketch every 12 minutes. This is the lowest term.