Question

Figure EFGH is a trapezoid. Trapezoid E F G H is shown. Sides E F and H G are parallel. Angle H is a right angle. Angle E is (9 x) degrees, angle F is (14 x) degrees, and angle G is (4 x) degrees. What is the measure of angle F

Answer 1

Answer:

The Answer is C

Answer 2

Using the knowledge that sum of interior angles of a quadrilateral is 360°, we calculate that measure of ∠F = 140°.

What is sum of interior angles of a quadrilateral?

The sum of interior angles in a quadrilateral is 360°.

We know that trapezoid is also a quadrilateral. Thus, sum of interior angles of a trapezoid is also 360°.

In given trapezoid EFGH,

∠E + ∠F + ∠G + ∠H = 360°

9x + 14x + 4x + 90 = 360

27x = 270

x = 10

Measure of ∠F = 14x = 14*10 = 140°

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