marissab06 marissab06
  • 22-03-2021
  • Mathematics
contestada

The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.

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heroshah9898
heroshah9898 heroshah9898
  • 22-03-2021

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

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Omm2 Omm2
  • 04-02-2022

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

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