Question

the angle of triangle bis in ratio of 2:3:4. find the measurements of each angle of the triangle​

Answer 1

Step-by-step explanation:

As we know that sum of all angles of triangle is 180°

Angle ratio = 2:3:4

let the angle be 2x ,3x, 4x

A/Q. 2x + 3x + 4x = 180°

9x = 180°

x = 180/9

= 20°

So each angles are 40°, 60°, and 80° .

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Answer 2

$\huge\mathfrak\green{ᴀɴsᴡᴇʀ}$

ᴀɴɢʟᴇ sᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇ ɪs 180 ᴅᴇɢʀᴇᴇs. ɪᴛ ɪs ɢɪᴠᴇɴ ᴛʜᴀᴛ ᴛʜᴇ ᴀɴɢʟᴇs ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ $2:3:4$

sᴏ ʟᴇᴛ ᴜs ᴄᴏɴsɪᴅᴇʀ ᴛʜᴇ ᴀɴɢʟᴇs ᴀs $2x,3x$ ᴀɴᴅ $4x.$

$2x+3x+4x=9x$

$Angle \: sum \: of \: triangle = 180$

sᴏ $9x =180^{0}$

$or \: x= \frac{9}{180} ={20}^{0}$

$∴2x=2×20={40}^{0}$

$3x=3×20= {60}^{0}$

$and \: 4x=4×20 = {80}^{0}$

$∴ the \: angles \: are  {40}^{0}, {60}^{0},{80}^{0}$