Question

5) Measures of angles of ?ABCD are in the ratio 4 : 5 : 7 : 8. Show that ⧠ABCD is a trapezium. ​

Answer 1

ans :4:5:7:8

(4)(5)(7)(8)=

1176

Answer 2

A = 4x

B = 5x

C = 7x

D = 8x

✰ ABCD ɪs ᴀ ᴛʀᴀᴘᴇᴢɪᴜᴍ = 360 ᴅᴇɢʀᴇᴇ

A + B + C + D = 360

4x + 5x + 7x + 8x = 360

24x = 360

x = 360/24

x = 15

➪ Pᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ x.

A = 4×15 = 60

B = 5×15 = 75

C = 7×15 = 105

D = 8×15 = 120

☞︎︎︎ Nᴏᴡ , B + C = 75 + 105 = 180

ᴀɴᴅ A + B = 60 + 75 = 135 ᴀʀᴇ ɴᴏᴛ ᴇǫᴜᴀʟ ɪɴ 180

Hᴇɴᴄᴇ BC ᴀɴᴅ AD ᴀʀᴇ ɴᴏᴛ ᴘᴀʀᴇʟʟᴇʟ.

Tʜᴇʀᴇғᴏʀᴇ ABCD ɪs ᴀ ᴛʀᴀᴘᴇᴢɪᴜᴍ.