JaxynU58214 JaxynU58214
  • 03-11-2022
  • Mathematics
contestada

Problem 1. Find the measure of each angle in the diagram below 85° (2x) x 35°

Problem 1 Find the measure of each angle in the diagram below 85 2x x 35 class=

Respuesta :

GabrieleB83853 GabrieleB83853
  • 03-11-2022

Answer:

x =80 degrees

2x = 160 degrees

Explanation:

The sum of angles at a point is 360 degrees. Therefore:

[tex]\begin{gathered} 85\degree+2x+x+35\degree=360​\degree \\ 3x=360​\degree-85-35 \\ 3x=240 \\ x=\frac{240}{3} \\ x=80 \end{gathered}[/tex]

Therefore, the measure of the other angle is:

[tex]2x=2\times80=160^0[/tex]

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