e the figure to answer the question.
An illustration shows a right inclined transversal passing through two parallel lines labeled upper M and upper N. Four angles are formed at the intersections of the transversal with upper M and upper N. The angles formed around the intersection point of the transversal and upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
If M and N are parallel and angle 1 is 135° , what is the sum of angle 6 and angle 8?
(1 point)
To find the sum of angle 6 and angle 8, we need to use the property of corresponding angles formed by a transversal passing through parallel lines.
Since angles 1 and 6 are corresponding angles, they are congruent. Therefore, angle 6 also measures 135°.
Similarly, angles 1 and 8 are corresponding angles, so angle 8 is also 135°.
The sum of angle 6 and angle 8 is 135° + 135° = 270°.
Therefore, the sum of angle 6 and angle 8 is 270°.