Question

find the measure of the given angle. if m∠ebc = 55° and m∠ebd = 20°, find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that $\angle EBC=\angle EBD+\angle 2$.

Step2: Rearrange the formula to solve for $\angle 2$

$\angle 2=\angle EBC - \angle EBD$.

Step3: Substitute given values

Given $\angle EBC = 55^{\circ}$ and $\angle EBD=20^{\circ}$, then $\angle 2=55^{\circ}- 20^{\circ}$.

Answer:

$35^{\circ}$