Answer: 20°, 50° and 90°
Step-by-step explanation:
From the question, we are informed that the measures of the three angles whose sum is 160 are in the extended ratio 2:5:9.
The exact angle measures will then be:
= 2/(2+5+9) × 160°
= 2/16 × 160°
= 20°
= 5/(2+5+9) × 160°
= 5/16 × 160°
= 50°
= 9/(2+5+9) × 160°
= 9/16 × 160°
= 90°
