2 supplementary angles are in the ratio 5:2. find the angles
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ꜱɪɴᴄᴇ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 5:2
ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇꜱ ʙᴇ 5x ᴀɴᴅ 2x
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ
ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ꜱᴜᴩᴩʟᴇᴍᴇɴᴛʀy ᴀɴɢʟᴇꜱ ɪꜱ 180°
5x+2x=180°
7x=180°
x=180°/7
ᴀɴɢʟᴇꜱ ᴀʀᴇ 5x=5×180/7=900/7
2x=2×180/7=360/7
ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇꜱ ʙᴇ 5x ᴀɴᴅ 2x
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ
ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ꜱᴜᴩᴩʟᴇᴍᴇɴᴛʀy ᴀɴɢʟᴇꜱ ɪꜱ 180°
5x+2x=180°
7x=180°
x=180°/7
ᴀɴɢʟᴇꜱ ᴀʀᴇ 5x=5×180/7=900/7
2x=2×180/7=360/7
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