Question

the angles of a regular pentagon are in the ratio 3 ratio 5 ratio 6 ratio 7 ratio 9.find all the angles​

Answer 1

9514 1404 393

Answer:

  54°, 90°, 108°, 126°, 162°

Step-by-step explanation:

The sum of angles in a pentagon is 180°(5 -2) = 540°.

The sum of ratio units is 3 +5 +6 +7 +9 = 30. So, each "ratio unit" stands for ...

  540°/30 = 18°

Then the angles are found by multiplying the given ratios by 18°:

  3 : 5 : 6 : 7 : 9 = 54° : 90° : 108° : 126° : 162°