Math, asked by chhayaraut358, 2 months ago

Three angle of a quadrilateral are 100°,80° and 110°. find the fourth angle​

Answers

Answered by monikeshari1
0

Answer:

70°

Step-by-step explanation:

Given, three angle of a quadrilateral,there measures are:100°,80°,110°.

And we have to find out the measure of the fourth angle

fourth angle=(360°- the sum of the all three angle)

=(360°-(100°+80°+110°))

=(360°-290°)

=70°

Answered by Anonymous
2

Step-by-step explanation:

ǫᴜᴇsᴛɪᴏɴ :

  • Three angle of a quadrilateral are 100°,80° and 110°. find the fourth angle.

Rᴇǫᴜɪʀᴇᴅ sᴏʟᴜᴛɪᴏɴ :

  • ɢɪᴠᴇɴ,

1sᴛ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ = 100°

2ɴᴅ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ=80°

3ʀᴅ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ = 110°

  • ᴛᴏ ғɪɴᴅ,

4ᴛʜ Qᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ = ?

  • sᴏʟᴜᴛɪᴏɴ,

sᴜᴍ ᴏғ ᴀɴɢʟᴇ ᴏғ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ = 360°

ʟᴇᴛ ᴛʜᴇ 4ᴛʜ ᴀɴɢʟᴇ ʙᴇ 'x'

ᴛʜᴇʀᴇғᴏʀᴇ, 100+80+110+x = 360°

290+x = 360°

x = 360 - 290

x = 70°

4ᴛʜ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ɪs 70°

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