Step-by-step explanation:
Given triangle is of the measure of 30°, 60°, 90° triangle.
x is opposite to 60° angle and y is opposite to 30° angle.
According to the 30°, 60°, 90° triangle theorem:
[tex]x = \frac{ \sqrt{3} }{2} \times 10 \sqrt{3} = \sqrt{3} \times 5 \sqrt{3} = 15 \\ \\ y = \frac{1}{2} \times 10 \sqrt{3} = 5 \sqrt{3} [/tex]
