Math, asked by sanjeevdhakad59, 1 year ago

the angles of a triangle are in ratio 2:3:7 find the measure of smallest angle

Answers

Answered by CaptainBrainly
96
HEYA!!

Given,

Ratios of angles of triangle are 2:3:7

Let the angles be 2x , 3x and 7x

Sum of all angles in a triangle = 180

ATP,

2x + 3x +7x = 180

12x = 180

x = 180/12

x = 15

first angle :

2x = 2 ( 15 )

= 30

2nd angle :

3x = 3 ( 15 )

= 45

3rd angle :

7x = 7 ( 15 )

= 105 ..

Therefore, the smallest angle = 2x = 2 (15) = 30

HOPE THIS HELPS U @MP #MAHABOOBPASHA #☺☺
Answered by Anonymous
42
hello frnd!!!

here's ur answer....

let the angles of the triangle be 2x, 3x and 7x.

we all know that the sum of interior angles in the triangle is 180°.

therefore 2x+3x+7x=180°

12x=180°

x=180/12

x=15

hence,

1st angle=2x

=2×15

=30°

2nd angle=3x

=3×15

=45°

3rd angle=7x

=7×15

=105°

the smallest angle is 30°

hope this helps u...

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