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A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.

A Side Of The Triangle Below Has Been Extended To Form An Exterior Angle Of 62 Find The Value Of Xx class=

Sagot :

Solution:

Note that:

  • x + 46 + (180 - 62) = 180

Simplify the equation to find x.

  • x + 46 + (180 - 62) = 180
  • => x + 46 = 180 - (180 - 62)
  • => x + 46 = 180 - 180 + 62
  • => x + 46 = 62
  • => x = 16

Sum of interiors=exterior

[tex]\\ \rm\bull\rightarrowtail x+46=62[/tex]

[tex]\\ \rm\bull\rightarrowtail x=62-46[/tex]

[tex]\\ \rm\bull\rightarrowtail x=16[/tex]

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