the angles for quadrilateral are in the ratio 3: 5: 9; 13 find all theangles for the quadrilateral
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Answered by
1
Step-by-step explanation:
let the angles are a, b, c, d.
a=3x,b=5x,c=9x,d=13x.
the sum angles of quadrilateral is 360
therefore a+b+c+d=360
3x+5x+9x+13x=360
30x=360
x=12
so a=36,b=60,c=108,d=156
Answered by
1
Answer:
1st angle = 36° 2nd angle = 60° 3rd angle = 108°
4th angle = 156°
Step-by-step explanation:
RATIO GIVEN IS 3:5:9:13
LET FIRST ANGLE =3x
SECOND ANGLE = 5x
THIRD ANGLE = 9x
FOURTH ANGLE = 13x
We know that sum of all angles of a quadrilateral is 360°
=> 3x + 5x + 9x + 13x = 360°
=>30x = 360°
=> x = 12°
Now
1st angle = 3 X 12 = 36°
2nd angle = 5X 12= 60°
3rd angle = 9X12= 108°
4th angle = 13 X 12.= 156°
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