Question

finding angles measures
find the following angle measures.
m∠ead =
m∠cab =

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. $\angle EAD$ and the $61^{\circ}$ angle are vertical angles.
So $m\angle EAD = 61^{\circ}$.

Step2: Identify complementary - angles

$\angle CAB$ and the $61^{\circ}$ angle are complementary (since the right - angle is formed). Complementary angles add up to $90^{\circ}$.
Let $m\angle CAB=x$, then $x + 61^{\circ}=90^{\circ}$, so $x=90^{\circ}-61^{\circ}=29^{\circ}$.

Answer:

$m\angle EAD = 61$
$m\angle CAB = 29$