What is the measure of each of the four angles in a quadrilateral if they are in the ratio 3:5:6:10?
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RATIO IS 3:5:6:10
LET EACH ANGLE BE 3x,5x,6x,10x
3x+5x+6x+10x=360
24x= 360
x=15
3x=3*15=45°
5x=5*15=75°
6x=6*15=90°
10x= 10*15=150°
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Answer:
Step-by-step explanation:
Let the angles be 3x,5x,6x,10x
Sum of interior angles of a quadilateral=360°
Therefore,
10x+6x+3x+5x=360
Or, 24x=360
Or,x=360/24
Or,x=15
Therefore the angles are
3×15=45°
5×15=75°
6×15=90°
10×15=150°
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