A side of the triangle below has been extended to form an exterior angle of 153°. Find the value of xx.
153°
x°
Answer
Attempt 1 out of 2
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. In this case, the exterior angle of 153° is equal to x° plus the other interior angle.
So we can set up the equation: 153° = x° + the other interior angle.
Since the sum of the interior angles of a triangle is always 180°, we know that x° + the other interior angle = 180°.
So we can rewrite the equation as: 153° = x° + (180° - x°)
Solving for x:
153° = 180° - x°
Subtracting 180° from both sides:
-27° = -x°
Dividing by -1:
27° = x°
Therefore, x = 27°.