Question

In a pentagon ABCDE;AB is parallel to DC and angle A:angle E:angle D=3:4:5.Find angle E​

Answer 1

Answer:

.......

17:12

1677

Step-by-step explanation:

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Answer 2

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Q. Iɴ ᴀ ᴘᴇɴᴛᴀɢᴏɴ ABCD ; AB ɪs ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ DC ᴀɴᴅ ⎳ A: ⎳E : ⎳C : ⎳D = 3 : 4 : 5. Fɪɴᴅ ᴀɴɢʟᴇ E ?

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➞ Lᴇᴛ ᴛʜᴇ ᴍᴇᴀsᴜʀᴇ ᴏғ ᴛʜᴇ ᴀɴɢʟᴇs ᴀʀᴇ 3x, 4x ᴀɴᴅ 5x

A/Q,

$↦⎳ A + ⎳B + ⎳C + ⎳D + ⎳E = 540°$

$↦ 3x + (⎳B+ ⎳C) + 4x + 5x = 540°$

$↦ 12x + 180 ° = 540°$

$↦ 12x = 360°$

$↦ x = \frac{360}{12}$

$↦ x = 30°$

✯ Tʜᴜs, ᴛʜᴇ ᴍᴇᴀsᴜʀᴇ ᴏғ ᴛʜᴇ ᴀɴɢʟᴇ E ᴡɪʟʟ ʙᴇ

➩ 4 × 30°

➩ 120°

★ Hᴇɴᴄᴇ ᴛʜᴇ ᴀɴɢʟᴇ E = 120°

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