Question

In the given figure, two straight lines AB and CD

intersect each other at O. If ∠MOD = 86°, then find

the values of x, y and z.​

Answer 1

Answer:

x=28° ,y=114°,z=24° are the angles for the given problem

Answer 2

$\huge\fcolorbox{violet}{pink}{Hello}$

86°+x = 90°

x= 90°-86°

x= 4°

3ᴢ-6° ________(ɪ)

86°+4°+3ᴢ-6° = 180° (sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ)

90°-6°+3ᴢ=180°

3ᴢ= 180°-84°

3ᴢ = 96°

ᴢ= 32°

ᴘᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴢ ɪɴ ᴇǫ(ɪ)

3(32)-6

90°

2x+10° = 3ᴢ-6° (ᴠᴇʀᴛɪᴄᴀʟʟʏ ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇ)

2x+10° =90°

x = 40°.

2x+10° + ʏ = 180°( sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ)

2(40)+ 10° + ʏ =180°

ʏ = 90°

ʜᴇɴᴄᴇ ᴛʜᴇ ᴠᴀʟᴜᴇs ᴏғ x,ʏ,ᴢ ᴀʀᴇ 40°,32°,90° ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ