The total area is 407.4262m²
Answer:the angles are 12 degrees, 48 degrees and 120 degrees.
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees.
The measures of the angles of XYZ are in the ratio 1:4:10. The total ratio is the sum of the proportion of each angle. It becomes
1 + 4 + 10 = 15
Therefore, the measure of the first angle would be
1/15 × 180 = 12 degrees
Therefore, the measure of the second angle would be
4/15 × 180 = 48 degrees
Therefore, the measure of the third angle would be
10/15 × 180 = 120 degrees
Since you are given the area, we can solve for radius with this equation:


The radius is 11, so the diameter must be 2 times that, which is 22. With the correct units, the answer is
22 units²