jerynnspencer jerynnspencer
  • 12-12-2019
  • Mathematics
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What is the measure of the missing angle in the figure below?

What is the measure of the missing angle in the figure below class=

Respuesta :

luisejr77
luisejr77 luisejr77
  • 19-12-2019

Answer: [tex]x=158\°[/tex]

Step-by-step explanation:

The picture given in the exercise shows a Quadilateral which has an angle whose measure is unknown.

By definition, the sum of the interior angles of a quadrilateral is 360 degrees.

Knowing this, you can write the following equation:

[tex]24\°+100\°+78\°+x=360\°[/tex]

Finally, you must solve for the angle "x" in order to calculate its measure.

This is:

[tex]24\°+100\°+78\°+x=360\°\\\\202\°+x=360\°\\\\x=360\°-202\°\\\\x=158\°[/tex]

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