birdtay
birdtay birdtay
  • 03-11-2021
  • Mathematics
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find the measure of the angle indicated in bold.

find the measure of the angle indicated in bold class=

Respuesta :

Trancescient
Trancescient Trancescient
  • 03-11-2021

108.6°

Step-by-step explanation:

The two angles are called consecutive interior angles and we know that the sum of these two angles is 180°. Therefore, we can write

[tex](23x + 1) + (36x +2) =.180[/tex]

[tex]\Rightarrow 59x + 3 = 180[/tex]

or

[tex]59x = 173 \Rightarrow x = 2.93[/tex]

This means that the angle in bold is

[tex]36(2.93) + 3 = 108.6°[/tex]

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