Math, asked by jamalsanjida251, 7 months ago

14. The ratio of angles in a triangle is 2 : 3:4. Find the
measure of each angle.​

Answers

Answered by sidd5449
0

Answer:

40, 60, 80

Step-by-step explanation:

ratio of angles is 2:3:4

let the common multiple be x

angles are,

2x, 3x, 4x

sum of angles in triangle is 180

2x+ 3x+ 4x =180

x= 20

so, the angles are,

40, 60, 80

Answered by Anonymous
1

\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}

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