Answer:the angles are 12 degrees, 48 degrees and 120 degrees.
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