Question

If a angle is 42 and lines M and N are parallel, give a reason hey angle 5 is also 42.

Answer 1

In the scenario you described, if angle 5 is equal to 42 degrees and lines M and N are parallel, we can infer that angle 5 is corresponding to the angle of 42 degrees due to the property of corresponding angles.

Here’s the reasoning:

When a transversal (a line that crosses two or more lines) intersects two parallel lines, it creates several angles. Corresponding angles are formed in matching corners when a transversal crosses parallel lines.

Thus, if angle 42 is corresponding to angle 5 (meaning they occupy the same relative position at each intersection), then angle 5 must also measure 42 degrees due to the Corresponding Angles Postulate.

So, the reason why angle 5 is also 42 degrees is: **Corresponding Angles Postulate (when lines are parallel, corresponding angles are equal).**