Answer:
The measure of angle x° = 34°.
Step-by-step explanation:
It is given that a
We know that side of the triangle below has been extended to form an exterior angle of 146°.
- It is clear that x° and 146° are adjacent angles.
- It is clear that x° and 146° lie on a straight line.
We know that a straight line makes a straight angle of 180°.
Thus,
The sum of x° and 146° must be 180°.
x° + 146° = 180°
subtract 146° from both sides
x° + 146° - 146° = 180° - 146°
x° = 34°
Therefore, the measure of angle x° = 34°.
