Question

it is written in terms of
(D) 10:9
[AS1] The angles of a triangle are in the ratio 1:2:3. The measure of the largest angle is
(A) 30°
(B) 60°
(C) 90°
(D) 120°​

Answer 1

Answer:

c

Step-by-step explanation:

let the angle be x ,

then angles will be x ,2x and 3x

so,

x + 2x + 3x =180°

6x= 180°

x = 180°/6

x = 30°

largest angle will be 3x =90°

Answer 2

The angles of a triangle (∆) are in the ratio of 1:2:3.

⠀

☯ Let the angles of the triangle be x, 2x and 3x.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀⠀

$\dag\;{\underline{\frak{As \ We \ know \ that,}}}$⠀⠀⠀⠀

• Sum of all angles of the triangle is 180°.

⠀⠀⠀⠀

$:\implies\sf x + 2x + 3x = 180^{\circ} \\\\\\:\implies\sf 6x = 180^{\circ} \\\\\\:\implies\sf x = \cancel\dfrac{180}{6} \\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 30^{\circ}}}}}}\:\bigstar$

⠀⠀⠀⠀

Hence,

⠀⠀⠀⠀

• First angle, x = 30°.
• Second angle, 2x = 2(30) = 60°.
• Third angle, 3x = 3(30) = 90°.

⠀⠀⠀⠀

$\therefore\:{\underline{\sf{Hence,\: The \ measure \ of \ the \ largest \ angle \:is\: \bf{Option \ c) \ 90^{\circ}}.}}}$