3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p
oint H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees.
What is the measure of AngleJHN?
25°
45°
50°
95°
What is the measure of AngleJHN?
25°
45°
50°
95°
1 answer:
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1) From the data, we can see that
is given.
2) Next,
since they are alternate angles.
3) By substitution, these means that
4) Finally, a || b since
this is because, angle 7 and angle 8 are corresponding angles.
Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6
4 and 8, 1 and 5, 3 and 7
In our case, 7 and 8 are corresponding angles
