SimonneD662196 SimonneD662196
  • 30-10-2022
  • Mathematics
contestada

In a quadrilateral, each of two angles has a measure of 115. If the measure of the third angle is 70, what is the measure of the remaining angle?

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SenaiW708332 SenaiW708332
  • 30-10-2022

Explanation

We are asked to find the remaining angle in the quadrilateral

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

If the given angles are: 115, 115, and 70

Then we can get the fourth angle as folllow:

[tex]Total\text{ angle in a quadrilateral is 360 degrees}[/tex]

Thus, the fourth angle will be

[tex]115+115+70+x=360[/tex]

Solving for x

[tex]x=360-115-115-70=60^0[/tex]

Therefore, the remaining angle is 60 degrees

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