Respuesta :

Answer:

140

Step-by-step explanation:

The sum of angles is 360.

9x+14x+4x+90 = 360 => 27x+90 = 360 => 27x = 270 => x = 10 => 14x = 140 => the angle is 140

The measure of angle F is 140

What is a right-angled trapezoid?

Two consecutive right angles make up a right trapezoid, also known as a right-angled trapezoid. The trapezoidal rule employs right trapezoids to calculate the areas under a curve. An obtuse trapezoid has one acute and one obtuse angle on each base, whereas an acute trapezoid has two consecutive acute angles on its longer base edge.

Given

Sum of all angles of trapezoid = 360

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

27x + 90 = 360

27x  = 270

x = 10

F = 14x = 14* 10 = 140

Therefore, The measure of angle F is 140.

To know more about right-angled trapezoids refer to :

https://brainly.com/question/11964079

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