Question

In the figure, ABCD is a parallelogram and EF is a line segment such that EF ∥ AC.
If ∠ADE = 32° and ∠CDF = 26°, find the measure of ∠ABC.

[PAGAL PANTI NHI HONI CHAHIYE..!!]​

Answer 1

Answer:

Angle ABC= 58°  

Step-by-step explanation:

Angle ADC= 180-32-26 = 122°

since sum of opposite angles of a parallelogram is 180

Angle ADC+Angle ABC = 180

Angle ABC = 180-122 = 58°

hence ,Angle ABC = 58°

HOPE IT WILL HELP U

Answer 2

ᴀɴɢʟᴇ ᴀʙᴄ= 58°  

sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:

ᴀɴɢʟᴇ ᴀᴅᴄ= 180-32-26 = 122°

sɪɴᴄᴇ sᴜᴍ ᴏғ ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪs 180

ᴀɴɢʟᴇ ᴀᴅᴄ+ᴀɴɢʟᴇ ᴀʙᴄ = 180

ᴀɴɢʟᴇ ᴀʙᴄ = 180-122 = 58°

ʜᴇɴᴄᴇ ,ᴀɴɢʟᴇ ᴀʙᴄ = 58°

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