Answer
$$x \approx 24.8$$
Work Step by Step
1. Find the last angle.
$$52 ^{o} + 70^o + c = 180^o$$ $$c = 180^o - 70^o - 52^o = 58^o$$
2. Use the law of sines to calculate $x$:
$$\frac{sin \space 52^o}{x} = \frac{sin \space 58^o}{26.7}$$ $$x = \frac{sin \space 52 ^o}{sin \space 58^o} \times 26.7$$ $$x \approx 24.8 \space (Calculator)$$
