Three angle of a quadrilateral are 100°,80° and 110°. find the fourth angle
Answers
Answered by
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
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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Hope it will be Helpful~
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