JayseonD353915 JayseonD353915
  • 25-10-2022
  • Mathematics
contestada

What is the measure of the exterior angle of the triangle? A. 23°B. 149°C. 180°D. 31°

What is the measure of the exterior angle of the triangle A 23B 149C 180D 31 class=

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ShreyaJ681989 ShreyaJ681989
  • 25-10-2022

Solution

The diagram below will be of help

From the image above

We know that the sum of angle in a triangle is 180 degrees

That is

[tex]\begin{gathered} 63+86+y=180 \\ 149+y=180 \\ y=180-149 \\ y=31^{\circ} \end{gathered}[/tex]

Now, to find x

We also know that the sum of angle in a straight line is 180 degrees

That is

[tex]y+x=180[/tex]

We now solve for x

[tex]\begin{gathered} x=180-y \\ x=180-31 \\ x=149^{\circ} \end{gathered}[/tex]

Therefore, the value of x = 149 degrees

Option B

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