2 years ago

The measures of the three angles whose sum is 160 are in the extended ratio 2:5:9. Find the exact angle measures.

Mathematics

1 answer:

yanalaym [24]2 years ago

8 0

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°

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The measures of the three angles whose sum is 160 are in the extended ratio ​2:​5:9. Find the exact angle measures.

The measures of the three angles whose sum is 160 are in the extended ratio 2:5:9. Find the exact angle measures.