Question

One angle of a triangle measure 30° and the other two angles are in the ratio 3:2. find these angles.

Answer 1

Hey friend

Here is your answer

The sum of all angles of a triangle is 180
Let 3:2 be 3x and 2x
So ,
30+3x+2x=180
30+5x=180
5x=180-30
5x=150
x=150/5
x=30

3x=3(30)
90

2x=2(30)
60

Answer 2

ꜱɪɴᴄᴇ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 3:2
ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇꜱ ʙᴇ 2x ᴀɴᴅ 3x
ꜱᴜᴍ ᴏꜰ ᴀɴɢʟᴇꜱ ᴏꜰ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ=180°
2x+3x+30°=180°
5x+30°=180°
5x=150°
x=150°/5
x=30°
ᴛʜᴇ ʀᴇqᴜɪʀᴇᴅ ᴀɴɢʟᴇꜱ ᴀʀᴇ 3x ɪᴇ 3×30°=90°
ᴀɴᴅ ᴏᴛʜᴇʀ ᴀɴɢʟᴇꜱ ɪꜱ 2x ɪᴇ 2×30°=60°