Question

1. in the diagram to the right, m<dbc = 60°. find each of the following. <ebd = <fbe = <cbf =

Explanation:

Step1: Identify right angle FBE

The square at B indicates a right angle, so $m\angle FBE = 90^\circ$.

Step2: Determine angle EBD

Assume $BC \perp BE$ (since $\angle DBC=60^\circ$ implies $BC$ and $BD$ form a 60° angle). Then $\angle EBC=90^\circ$, so $\angle EBD = \angle EBC - \angle DBC = 90^\circ - 60^\circ = 30^\circ$.

Step3: Calculate angle CBF

$BF$ (upwards) and $BC$ (downwards from B) are opposite rays, forming a straight angle: $m\angle CBF = 180^\circ$.

Answer:

$\angle EBD = 30^\circ$
$\angle FBE = 90^\circ$
$\angle CBF = 180^\circ$