Question

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°​

Answer 1

Answer:

60 degrees each

Step-by-step explanation:

Pls mark my ans as brainlist

And follow

Answer 2

$\huge \sf \: ☯Aɴsᴡᴇʀ :$

• 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

$\sf\because \:Tʜɪs \: \: Is \: A \: Tʜᴇᴏʀᴇᴍ$

⇨X+X=120°

⇨2x=120°

$\sf \: ⇨x = \cancel \frac{120 \degree}{2}$

⇛x=60°

$\large \mathcal{ \fcolorbox{orange}{aqua}{ \red{✯Tʜᴀʟᴀ \: Hᴇʀᴇ}}}$