Question

if one angle of a quadrilateral is 135° and the other angles are in ratio 3: 5:7 find the angle
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Answer 1

Answer:

3:5:7 also remains same when x is multiplied x is common multiple in the nos.

135°+3x°+5x°+7x°=360°

135°+15x°=360°

225°/15°=x°

x°=15°

so the angles are 135°, 45°, 75°, 105°

Answer 2

Sum of interior angles if quadrilateral = 360

one angle = 135

360-135 = 225° ( Remaining measure)

Now, 3x + 5x + 7x = 225

15x = 225

x = 225/15 = 15°

All angles of a quadrilateral :

135°

3x = 45°

5x = 75°

7x = 105°