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Answer :
Final answer:
In a parallelogram, opposite angles are congruent. Therefore, angle F is equal to angle H, which is 180 degrees.
Explanation:
To find the measure of angle F, we need to use the properties of parallelograms. In a parallelogram, opposite angles are congruent. Therefore, angle F is equal to angle H. So, we just need to find the measure of angle H. Since the sum of the interior angles of a quadrilateral is 360 degrees, angle H can be found by subtracting the measures of angles E and G from 360 degrees. If angle E is 117 degrees, and angle G is 63 degrees, then angle H is 360 - 117 - 63 = 180 degrees. Therefore, the measure of angle F is also 180 degrees.
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