svaldezboy
svaldezboy svaldezboy
  • 18-03-2019
  • Mathematics
contestada

Given the figure what is the value of x show your work

what is the measure of angle F show your work

Respuesta :

calculista
calculista calculista
  • 27-03-2019

Answer:

Part a) The measure of angle F is 73°

Part b) The value of x is 17

Step-by-step explanation:

step 1

Find the measure of angle F

we know that

<F+107°=180° -----> by supplementary angles

so

<F=180°-107°=73°

step 2

Find the value of x

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

<E+<D+<F=180°

substitute the values

(3x+5)°+51°+73°=180°

solve for x

3x=180°-129°

x=51°/3=17

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