Math, asked by aditiwaghade2308, 1 month ago

Four angles of a quadrilateral ABCD are in ratio of 3: 5: 7: 9. Find the measure of angles.
I need in step by step solution ​

Answers

Answered by palakdsharma956
1

Answer:

3x + 5x + 7x + 9x = 360°

24x = 360°

x = = 15°

Hence, the angles are 3 x 15° = 45°

5 x 15° = 75°

7 x 15° = 105°

9 x 15° = 135°

Answered by DevyaniKhushi
0

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

We know,

 \sf3x + 5x + 7x + 9x = 360 \\  \sf  \to \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 24x = 360 \\ \sf  \to \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \frac{24x}{24}  =  \frac{360}{24}  \\  \\ \sf  \to \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  \frac{30}{2}  = 15

Hence,

  • 1st angle of quadrilateral = 45°
  • 2nd angle of quadrilateral = 75°
  • 3rd angle of quadrilateral = 105°
  • 4th angle of quadrilateral = 135°
Similar questions