Answer:
The correct answer to the question is;
1 < x < <u>4</u>
Step-by-step explanation:
The give parameters are;
ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°
Therefore, the two base angles are 62.5° each by definition of isosceles triangle
Given that the angle subtended by 4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;
4·x - 4 < 12
4·x < 12 + 4
∴ 4·x < 16
x < 16/4
x < 4
Therefore, the range is 1 < x < 4
