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

∠F = 140°

Step-by-step explanation:

EFGH is a trapezoid.

=> ∠E + ∠F + ∠G + ∠H  = 360°

∠E  = 9x

∠F = 14x

∠G = 4x

∠H = right angle = 90°

∠E + ∠F + ∠G + ∠H  = 360°

=> 9x + 14x + 4x + 90° = 360°

=> 27x  = 270°

=> x  = 10°

∠F = 14x

=> ∠F = 14 * 10

=> ∠F = 140°

Learn more:

AB parallel CD in trapezium ABCD if angle A = Y + 60° and Angle B ...

https://brainly.in/question/8847570

trapezium ABCD in which ab is parallel to CD are 2 X + 50 and 2x ...

https://brainly.in/question/11100485