The angles of a quadrilateral are in ratio 3:5:7:9. Find the measure of each angle.
Answers
Answered by
1
Answer:
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Step-by-step explanation:
we know that sum of all angles of quadrilateral is 360°
Hence
Angle A=3x
Angle B=5x
Angle C=7x
Angle D=9x
So
A+B+C+D=360°
3x+5x+7x+9x=360°
24x=360°
x=360/24
x=15
Now
Angle A=3x
=3×15
=45°
Angle B=5x
=5×15
=75°
Angle C=7x
=7×15
=105°
Angle D=9x
=9×15
=135°
Answered by
0
Answer:
let the angles of a quadrilateral be 3x, 5x , 7x,9x
the sum of quadrilateral is 360
therefore 3x+ 5x + 7x + 9x = 360
24x=360
x=360/24
x=15
3x =3×15=45
5x=5×15=75
7x=7×15=105
9x=9×15=135
to check your answer calculate the sum of all angles of a quadrilateral
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