Question

One of the angle of a triangle is equal to the sum of the other two angles . If the ratio of the other two angles is 4:5,then the smallest angle is

Options -a) 40 degree b) 45 degree
C) 50 degree. d) 20 degree

Answer 1

Answer:

Option a is correct.

Solution is in the pic.

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Answer 2

Answer:. Option a) 40

Step-by-step explanation:

Let the 1st angle be 4x

Let the 2nd angle be 5x

Let the 3rd angle be 4x+5x

4x+5x+4x+5x = 180 ( angle sum property )

18x=180

x=180/18 = 10

1st angle =4x = 4×10 = 40

2nd angle = 5x = 5×10 = 50

3rd angle = 4x+ 5x= 4×10 + 5×10 = 90

The smallest angle is 40.

Hope this helps you .