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
