Question

The ratio of angles of a triangle is 1:2:3 find the measurement of the angles.​

Answer 1

ASKED:-

• The ratio of angles of a triangle is 1:2:3. Find the measurement of the angles.

$\huge{\bold\purple{Answer:-}}$

${\bold\blue{⇒}}$The measurement of the angles are 30°, 60° and 90°.

⠀

$\huge{\bold\red{Explaination}}$

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

${\bold\blue{Then,}}$ x + 2x + 3x = 180° [Angle some property]

${\bold\blue{⇒}}$ 6x = 180°

${\bold\blue{⇒}}x = \sf{\cancel\dfrac{180}{6}}$

${\bold\blue{⇒}}$ x = 30°

∴

x = 30°

2x = 60°

3x = 90°

${\bold\pink{Hence,}}$ the required angles are 30° , 60° and 90°

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Answer 2

ASKED:-

• The ratio of angles of a triangle is 1:2:3. Find the measurement of the angles.

$\huge{\bold\purple{Answer:-}}$

${\bold\blue{⇒}}$The measurement of the angles are 30°, 60° and 90°.

⠀

$\huge{\bold\red{Explaination}}$

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

${\bold\blue{Then,}}$ x + 2x + 3x = 180° [Angle some property]

${\bold\blue{⇒}}$ 6x = 180°

${\bold\blue{⇒}}x = \sf{\cancel\dfrac{180}{6}}$

${\bold\blue{⇒}}$ x = 30°

∴

x = 30°

2x = 60°

3x = 90°

${\bold\pink{Hence,}}$ the required angles are 30° , 60° and 90°

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\huge\colorbox{lime}{ᴍʀ.ᴀsʜɪᴛ࿐ ❤}$