An exterior angle of a triangle is 120° and the two interior opposite angles are equal.
Each of these angles is:
(a) 60° (b) 100° (c) 120° (d) 180°
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Answer:
60 degrees each
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- Eᴀᴄʜ Aɴɢʟᴇ Wɪʟʟ Bᴇ 60°
Gɪᴠᴇɴ:
- Exᴛᴇʀɪᴏʀ Aɴɢʟᴇ ɪs 120°
- Aɴᴅ Iɴᴛᴇʀɪᴏʀ Oᴘᴘᴏsɪᴛᴇ Aɴɢʟᴇs Aʀᴇ Eǫᴜᴀʟ
Assᴜᴍᴘᴛɪᴏɴ:
- Lᴇᴛ Bᴏᴛʜ Iɴᴛᴇʀɪᴏʀ Oᴘᴘᴏsɪᴛᴇ Eǫᴜᴀʟ Aɴɢʟᴇs Bᴇ x
Exᴘʟᴀɴᴀᴛɪᴏɴ:
- Sᴜᴍ Oғ Iɴᴛᴇʀɪᴏʀ ᴏᴘᴘᴏsɪᴛᴇ Aɴɢʟᴇ=Exᴛᴇʀɪᴏʀ Aɴɢʟᴇ
⇨X+X=120°
⇨2x=120°
⇛x=60°
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