Question

the measure of adjacent angles of a parallelogram are in ratio of 4:2 find all​

Answer 1

Hello, Buddy!!

✰ Given:-

• Ratio of adjacent angles of a parallelogram is 4:2.

✰ To Find:-

• Measure of all angles of the parallelogram.

✫ Required Solution:-

WKT

Aᴅᴊᴀᴄᴇɴᴛ Aɴɢʟᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪs Sᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ.

$4x + 2x = 180 \\ 6x = 180 \\ x = \frac{180}{6} \\ x = 30$

4x → 4(30°) ☞ 120°

2x → 2(30°) ☞ 60°

• Angle 1 ➪ 120
• Angle 2 ➪ 60°

WKT

Oᴘᴘᴏsɪᴛᴇ Aɴɢʟᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ Eǫᴜᴀʟ.

• Angle 3 ➪ 120°
• Angle 4 ➪ 60°

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