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a side of the triangle below has been extended to form a exterior angle of 113 degrees find the value of x

A Side Of The Triangle Below Has Been Extended To Form A Exterior Angle Of 113 Degrees Find The Value Of X class=

Answer :

MRROYAL9196GO

Answer:

x = 23°

Step-by-step explanation:

x + 67° + 90 = 180°

x + 157° = 180°

x = 23°

AKPOSEVICTORGO

Applying the exterior angle theorem, the value of x in the diagram given is: x = 23.

Given:

  • Exterior angle = 113 degrees
  • Two interior angles opposite to the exterior angle are: x and 90 degrees respectively.

Based on the exterior angle theorem of a triangle, we will have the following:

x + 90 = 113 (exterior angle theorem)

  • Subtract 90 from each side

x + 90 - 90 = 113 - 90

x = 23

Thus, applying the exterior angle theorem, the value of x in the diagram given is: x = 23.

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