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erma4kov [3.2K]
4 years ago
8

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Mathematics
1 answer:
ioda4 years ago
7 0

Answer:

The value of x is 67

Step-by-step explanation:

  • <em>If </em><em>two adjacent angles formed a line</em><em>, then they called </em><em>a pair of linear angles</em>
  • <em>The </em><em>measure</em><em> of the pair of linear angles is </em><em>180°</em>

In the given figure

∵ One side of the triangle is extended to form an exterior angle of 113°

∵ The angle of 113° and the angle of x° are adjacent angles

∵ They formed a line (the side is extended)

→ That means they formed a pair of linear angles

∴ The angle of 113° and the angle of x° formed a pair of linear angles

∵ The measure of the pair of linear angles = 180°

∴ 113° + x° = 180

→ Subtract 113 from both sides

∵ 113 - 113 + x = 180 - 113

∴ x = 67

∴ The value of x is 67

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