11 M and N are parallel and angle 1is * 135 deg what is the sum of angle 6 and angle 8?
(1 point)
Since lines M and N are parallel, we can conclude that angle 1 and angle 6 are alternate interior angles. Therefore, angle 6 is also equal to 135 degrees.
Since angle 6 and angle 8 are corresponding angles formed by lines M and N and a transversal, we can conclude that they are equal to each other. Therefore, angle 8 is also equal to 135 degrees.
Since angle 6 and angle 8 are both equal to 135 degrees, the sum of angle 6 and angle 8 is 135 + 135 = 270 degrees.
To solve this problem, we need to use the properties of parallel lines and transversals.
Given:
M and N are parallel lines.
Angle 1 is 135 degrees.
By the properties of parallel lines and transversals, we know that angles 1 and 6 are corresponding angles, and angles 1 and 8 are alternate interior angles.
Therefore, angle 6 is also 135 degrees.
Now, to find the sum of angle 6 and angle 8, we can use the fact that the sum of interior angles on the same side of a transversal line is always 180 degrees.
So, angle 8 + angle 6 = 180 degrees + 135 degrees = 315 degrees.
Therefore, the sum of angle 6 and angle 8 is 315 degrees.
To find the sum of angles 6 and 8, we need to first determine their values.
Since lines M and N are parallel, angle 1 and angle 6 are corresponding angles, and angle 8 is an alternate interior angle with angle 1. Corresponding angles and alternate interior angles are congruent when lines are parallel.
Given that angle 1 is 135 degrees, we can conclude that:
angle 6 = angle 1 = 135 degrees
angle 8 = angle 1 = 135 degrees
Therefore, the sum of angle 6 and angle 8 is:
angle 6 + angle 8 = 135 degrees + 135 degrees = 270 degrees.