Question

Can someone help me with this pls

Answer 1

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`