Question

The angles of a triangle are in the ratio 1:2:3.then the least angle is_______?
A)15°
B)30°
C)45°
D)60°

Answer 1

Let the angles be x

x+2x+3x=180

6x=180

x=180/6

x=30

So the angles are

30, 60,90

Least angle=30.....

Hope it helps u...

Answer 2

$\huge{\textbf{SOLUTION}}$

Let the three angles be 1x , 2x , 3x

1x + 2x + 3x = 180° (Angle Sum Property)

6x = 180°

x = $\frac{180}{6}$

x = 30°

$\mathfrak{HENCE,}$

1x = 1 × 30 = 30°

2x = 2×30 = 60°

3x = 3×30 = 90°

The smallest angle is 1x which is 30°.

Answer - OPTION - B - 30°

$\underline{\underline{NOTE}}$

: ==> 1x = 1× x = x , => 1x can be written as x

: ==> Angle sum property of a triangle states that the sum of the angles in a triangle = 180°