Respuesta :

The measure of angle x from the given diagram is 130 degrees

Find the diagram attached

  • To get the measure of angle x, a line will have to cut across the angle x dividing it into two.

  • Let us assume the angle x was divided into "a" and "b"

  • From the diagram shown <a = 50⁰ (alternate interior angle)

<b and 100⁰ are supplementary i.e they sum up to 180 degrees as shown:

<b + 100 = 180

<b = 180 - 80

<b = 80 degrees

Get the measure of angle "x"

x = <a + <b

x = 50 + 80

x = 130 degrees

Hence the measure of angle x from the given diagram is 130 degrees

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