two adjacent interior angles of a parallelogram are 2x - 15 degree in 7x - 75 degree find all the angles of the parallelogram
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Answered by
80
ʜᴇy ᴜꜱᴇʀ
ʜᴇʀᴇ ɪꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ :-
_______________________________
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ , ᴛʜᴇ ꜱᴏᴍᴇ ᴏꜰ ᴛᴡᴏ ᴀᴅᴊᴀᴄᴇɴᴛ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴏꜰ ᴀ ᴩᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪꜱ 180.
2x - 15 + 7x - 75 = 180
=> 9x - 90 = 180
=> 9x = 180 + 90
=> 9x = 270
=> x = 270/9
=> x = 30 .
ꜱᴏ ᴀɴɢʟᴇ ᴏꜰ ᴛʜᴇ ᴩᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ
2x - 15 = 2 ( 30 ) - 15
= 60 - 15
= 45.
7x - 75 = 7 ( 30 ) - 75
= 210 - 75
= 135.
ʜᴇʀᴇ ɪꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ :-
_______________________________
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ , ᴛʜᴇ ꜱᴏᴍᴇ ᴏꜰ ᴛᴡᴏ ᴀᴅᴊᴀᴄᴇɴᴛ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴏꜰ ᴀ ᴩᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪꜱ 180.
2x - 15 + 7x - 75 = 180
=> 9x - 90 = 180
=> 9x = 180 + 90
=> 9x = 270
=> x = 270/9
=> x = 30 .
ꜱᴏ ᴀɴɢʟᴇ ᴏꜰ ᴛʜᴇ ᴩᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ
2x - 15 = 2 ( 30 ) - 15
= 60 - 15
= 45.
7x - 75 = 7 ( 30 ) - 75
= 210 - 75
= 135.
Answered by
13
Answer:
yes answer are 45 and 135
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