The measure of angle DAE is 45 degrees.
What is vertically opposite angle?
when two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
According to the given question
m∠BAF = 134 degrees
and, m∠CAD = 89 degrees
Since, ∠CAE and ∠BAF are vertically opposite angles.
Therefore, m∠CAE = m∠BAF = 134 degrees
Now,
m∠CAE = m∠CAD + m∠DAE
⇒ m∠BAF = 89 + m∠DAE
⇒ 134 = 89 + m∠DAE
⇒ m∠DAE = 134 - 89
⇒ m∠DAE = 45 degrees
Hence, the measure of angle DAE is 45 degrees.
Learn more about the vertically opposite angles here:
https://brainly.com/question/18045519
#SPJ2
