Question

the angles of a quadrilateral are in the ratio 3 is to 5 is to 7 is 29 find the measure of each of these angle

Answer 1

Let the four angles 3x, 5x, 7x,9x
3x+5x+7x+9x=360
24x=360
X=360/24=15
So angles are
3x=3*15=45
5x=75
7x=105
9x=135

Answer 2

Let the angles if the quadrilateral be 3x,5x,7x,29x.
So, 3x+5x+7x+9x=360° (Angle sum property
of a quadrilateral)
=>24x=360
=>x=360/24 =15°
So,measure of each angle=>3x=3*15=45°
=>5x=5*15=75°
=>7x=7*15=105°
=>9x=29*15=135°