Question

Find the measures of the four angles of a quadrilateral if they are in the
ratio 3: 5:7:9​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

45°,75°,105°and135°

Answer 2

Step-by-step explanation:

Let the angles of the quadrilateral be 3x, 5x, 7x and 9x.

Now, the sum of all the interior angles of a triangle is equal to 360°.

According to the question:-

→ 3x + 5x + 7x + 9x = 360°

→ 24x = 360°

→ x = 360°/24

→ x = 15°

Now, the measurement of each angles:-

• 1st angle = 3x = 3×15° = 45°

• 2nd angle = 5x = 5×15° = 75°

• 3rd angle = 7x = 7×15° = 105°

• 4th angle = 9x = 9×15° = 135°

Therefore, all the four interior angles of the quadrilateral are 45°, 75°, 105° and 135°