Question

The angles of a quadrilateral are in the ratio 7 : 5 : 9 : 15. Find the smallest angle.

Answer 1

Answer:

50°

Step-by-step explanation:

let the angles be, 7x,5x,9x,15x

total angle of a quadrilateral = 360

so, 7x+5x+9x+15x=360

or, 36x=360

or, x=360/36

or, x=10

smallest angle, 5x=5×10=50°

Answer 2

Step-by-step explanation:

Let the angles be

a = 7x

b = 5x

c = 9x

d = 15

The sum of quadrilateral is 360

Therefore- a+b+c+d = 360

7x + 5x + 9x + 15x = 360

36x = 360

x = 360/36

x = 10

a = 7x = 7 × 10 = 70

b = 5x = 5 × 10 = 50

c = 9x = 9 × 10 = 90

d = 15x = 15 × 10 = 150

Ans. Smallest angle is 50

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