Can someone help me with this pls

Question

asked Jun 2, 2023 95.0k views

1 Answer

Anils · Answer 1 · 2023-06-08T14:20:05+0000

Answer:

6

Explanation:

Angles DBF and EBF form a linear pair, so:

$5x+6+3x-2=180 \\ \\ 8x+4=180 \\ \\ 8x=176 \\ \\ x=22 \\ \\ \implies m\angle DBF=116^(\circ)$

Similarly, because angles DBF and DBC form a linear pair,

$m\angle DBC=64^(\circ)$

Since angle DBE is a straight angle, angle ABE is 26 degrees.

$4y+2=26 \\ \\ 4y=24 \\ \\ y=6$