The angles of a quadrilateral are in the ratio 3:5:7:9. Measure the largest angke
angle of quadrilateral -
5 degree
75 degree
105 degree
135 degree
Answers
Answered by
6
Answer:
HERE IS UR ANSWER :
Let the ratios of angles of quadrilateral be
- 3x
- 5x
- 7x
- 9x
sum of the angles = 360°
of quadrilateral
3x + 5x+ 7x+ 9x. = 360°
24x. = 360°
x. = 360°/24
x. = 15°
then the angles of quadrilateral will be
3x=3(15)=45°
5x=5(15)=75°
7x=7(15) =105°
9x=9(15)= 135°
hence
the biggest angle of quadrilateral is
135°
..
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##PHENOMENAL
Answered by
7
Solution :
The angles of a quadrilateral are in the ratio 3:5:7:9 & let we suppose the ratio be r;
∠A = 3r , ∠B = 5r , ∠C = 7r & ∠D = 9r
A/q
As we know that sum of all angles of quadrilateral be 360° then;
Thus;
- 1st angle = 3r = 3 × 15° = 45°
- 2nd angle = 5r = 5 × 15° = 75°
- 3rd angle = 7r = 7 × 15° = 105°
- 4th angle = 9r = 9 × 15° = 135°
∴ The largest angle of a quadrilateral will be 135° .
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