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3 years ago

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

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

The value of x is 67

Step-by-step explanation:

If two adjacent angles formed a line, then they called a pair of linear angles

The measure of the pair of linear angles is 180°

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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