Answer:
AI-generated answer
In order to find the value of x, we need to use the fact that the picture is not drawn to scale. Let's break it down step by step:
1. We are given the angles in the picture:
- Angle A is 44°.
- Angle B is 54°.
- Angle C is (20x + 52)°.
2. Since the picture is not drawn to scale, we cannot rely on the lengths of the lines or the proportions of the angles. Instead, we need to use the relationships between the angles.
3. In a triangle, the sum of all angles is always 180°. Therefore, we can write the equation:
Angle A + Angle B + Angle C = 180°.
4. Substituting the given values, we have:
44° + 54° + (20x + 52)° = 180°.
5. Simplifying the equation, we get:
98° + 20x + 52° = 180°.
6. Combining like terms, we have:
20x + 150° = 180°.
7. Now, let's isolate the variable x by subtracting 150° from both sides:
20x = 30°.
8. Finally, divide both sides by 20 to solve for x:
x = 30° / 20 = 1.5°.
So, the value of x is 1.5°.