Question

in fig 6.91, AB is parallel to CD. find the value of x​

Answer 1

Answer:

Make a line RP parallel to CD and AB containing point E

angle DCE = CER ( alternative interior angle ) eq-1

angle CER = CEB + BER

angle 100° = 40° + BER

BER = 100-40

BER = 60° (eq - 2 )

angle ABE + BER = 180° ( co - interior angel)

ABE = 180° - BER

ABE = 180° - 60°

ABE = 120°

hope it helps

and have a day SMOOTH LIKE BUTTER

Answer 2

$\LARGE\sf\underline{\underline{\fbox\purple{\tt{Soltion}}}}:-$

☞Make a line RP parallel to CD and AB containing point E

➩angle DCE = CER (alternative interior angle) eq-1

➩angle CER = CEB + BER

➩angle 100° = 40° + BER

➩BER = 100-40

➩BER = 60° (eq - 2)

➩angle ABE + BER = 180° ( co - interior angel)

➩ABE = 180° - BER

➩ABE = 180° - 60°

➩ABE = 120°