Question

complementary and supplementary angles
instruction active
finding angles measures
find the following angle measures.
$m\angle ead = \square^\circ$
$m\angle cab = \square^\circ$
(diagram shows lines intersecting at point a, with $\angle cae = 61^\circ$, $\angle baf = 61^\circ$, and a right angle symbol between ad and af)

Explanation:

Step1: Find $\angle EAD$

First, note that $\angle EAF$ is a right angle ($90^\circ$), and $\angle DAF = 61^\circ$. Subtract to find $\angle EAD$.
$\angle EAD = 90^\circ - 61^\circ = 29^\circ$

Step2: Find $\angle CAB$

$\angle CAB$ forms a straight line with $\angle FAB$, where $\angle FAB = 61^\circ$. Straight angles equal $180^\circ$, so subtract to find $\angle CAB$.
$\angle CAB = 180^\circ - 61^\circ = 119^\circ$

Answer:

$m\angle EAD = 29^\circ$
$m\angle CAB = 119^\circ$