If angle I is 71 degrees, what are the measures of the other angles in trapezoid IHGF?

1 answer

In a trapezoid, the adjacent angles are supplementary (sum to 180 degrees).

If angle I is 71 degrees, then angle H is also 71 degrees since they are adjacent angles.

Therefore, angle G and angle F are supplementary and sum to 180 degrees. Since angle H is 71 degrees, angle F and angle G would be 180 - 71 = 109 degrees each.

So, the measures of the other angles in trapezoid IHGF are:
- Angle H = 71 degrees
- Angle G = 109 degrees
- Angle I = 71 degrees
- Angle F = 109 degrees