Question

ᴛʜᴇ ᴛʜʀᴇᴇ ᴀɴɢʟᴇs ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 1:2:3 . ғɪɴᴅ ᴛʜᴇ ᴀʟʟ ᴛʜᴇ ᴀɴɢʟᴇs ᴏғ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇs .​ pls help me​

Answer 1

Answer:

three angles of the triangle are 30°,60°,90°

Step-by-step explanation:

the sum of the three angles of a triangle is 180°

the angles are in ratio 1 : 2 : 3

the 1st angle is 1×180°/(1+2+3)=180°/6=30°

the 2nd angle is 2×180°/(1+2+3)=2×180°/6

=2×30°=60°

the 3rd angle is 3×180°/(1+2+3)=3×180°/6

=3×30°=90°

Answer 2

Lᴇᴛ Tʜᴇ Aɴɢʟᴇs ʙᴇ x, 2x Aɴᴅ 3x

Sᴜᴍ ᴏғ Tʜᴇ Tʀɪᴀɴɢʟᴇ ɪs = 180°

⇏x+2x+3x = 180

⇏6x = 180

⇏x = 180/6

⇏x = 30

Fɪʀsᴛ Aɴɢʟᴇ = 30°

Sᴇᴄᴏɴᴅ Aɴɢʟᴇ = 30*2 = 60°

Tʜɪʀᴅ Aɴɢʟᴇ = 30*3 = 90°

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