Question

The angles of angles of a quadrilateral are in the ratio 3: 5: 7: 9. Find
the measure of each of these angles.​

Answer 1

Answer:

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

Sum of angles of a quad. = 360

3x+5x+7x+9x = 360

24x = 360

x = 15

1st angle = 15×3=45 °

2nd angle = 15×5=75°

3rd angle = 15×7= 105°

4th angle = 15×9= 135°

Answer 2

Hey mate!

$let \: the \: \\ first \: angle \: be \: 3x \\ second \: anle \: 5x \\ third \: angle \: 7x \\ fourth \: angle \: be \: 9x \\ sum \: of \: all \: the \: angles \: of \: quadrilateral \: = 360 \\ so. \\ 3x + 5x + 7x + 9x = 360 \\ 24 \: x = 360 \\ x = \frac{360}{24} \\ x = 15 \\ first \: angle = 3 \times 15 = 45 \\ second \: angle = 5 \times 15 = 75 \\ third \: angle \: = 7 \times 15 = 105 \\ fourth \: angle = 9 \times 15 = 135.$

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