Question

finding unknown angle measures what is the measure of ∠dae? 45° 46° 91° 146° 89° 134°

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. Also, vertical angles are equal.

Step2: Find vertical angles

∠BAC and ∠EAF are vertical angles, so ∠EAF = 134°. ∠CAD and ∠EAB are vertical angles, so ∠CAD = 89°.

Step3: Calculate ∠DAE

Let ∠DAE=x. We know that 360°=∠EAF + ∠CAD+∠DAE + ∠BAC. Substituting the known values: 360° = 134°+89°+x + 134°. First, add the known angles on the right - hand side: 134°+89°+134° = 357°. Then, x=360° - 357° = 45°.

Answer:

45°