KaidanceR511340 KaidanceR511340
  • 30-10-2022
  • Mathematics
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If ∠2 = 36°, what is the measure of ∠7? *16°26°36°126°144°

If 2 36 what is the measure of 7 162636126144 class=

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LeorO521818 LeorO521818
  • 30-10-2022

Angle 2 and Angle 7 are interior angles.

We know, they add up to 180 degrees.

From the figure, we can write:

[tex]\angle2+\angle7=180\degree[/tex]

We know ∠2 = 36°, so,

[tex]\begin{gathered} \angle2+\angle7=180\degree \\ 36\degree+\angle7=180\degree \\ \angle7=180-36 \\ \angle7=144\degree \end{gathered}[/tex]

The 'last choice' is right.

So,

Answer[tex]\angle7=144\degree[/tex]

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