Question

three angle of a quadrilateral are in the ratio 3:5:8. the mean of these angle is 80. find the all the four angels of the quadrilateral
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Answer 1

Step-by-step explanation:

$3x + 5x + 8x \div 3 = 80 \\ \\ 16x = 240 \\ \\ x = 240 \div 16 \\ \\ x = 15 \\ \\ 3x = 45 \\ \\ 5x = 75 \\ \\ 8x = 120 \\ \\ sum \: of \: angles \: of \: a \: quadrilatral \: = 360 \\ \\ 45 + 75 + 120 + x = 360 \\ \\ 240 + x = 360 \\ \\ x = 360 - 240 \\ \\ x = 120$

answers are 120,75,45,120

Answer 2

Step-by-step explanation:

given

3 angles are in the ratio of the quadrilateral they are 3:5:8

mean of these angles is 80

to find all angles

let angles are 3x:5x:8x

mean=3x+5x+8x÷3

80=16x÷3

3×80=16x

240=16x

240÷16=x

15=x

1st angle=3×15=45°

2nd angle=5×15=75°

3rd angle=8×15=120°

4th angle=?

360 =45+75+120+?

360 =240+?

360_240=?

120 =?

4th angle =120°

✓angles=45,75,120,120