Question

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

A) 20° B) 30° C) 50° D) 70°

Answer 1

Answer:

Let the angles be 5x, 3x and 10x respectively.

By angle sum property of triangle

5x+3x+10x=180°

18x=180

x=180/18

x=10

largest angle=10x=100°

smallest angle=3x=30°

the difference =100°-30°

=70°

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Answer 2

Answer:

let lst angle of triangle =5x

let llnd angle of triangle=3x

let lllrd angle of triangle=10x

5x+3x+10x = 180° ( angle sum pro. of triangle)

18x =180°

x = 180° ÷ 18

x=10°

Value of lst angle=50°

" " llnd " = 30°

" " llrd " = 100°

Here, the smallest angle is of 30° & the largest angle is of 100°.

DIFFERENCE --> 100° - 30° = 70°

✏Answer-70°

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