Answer:
Explanation:
You want to know the measure of angle 1 given that angle 2 is 14° more and their total is 80°.
Angle sum theorem
The angle sum theorem tells you the whole is equal to the sum of the parts.
∠1 +∠2 = ∠ABD
Using the given values, we have ...
∠1 +(∠1 +14°) = 80°
2×∠1 = 66° . . . . . . . . . subtract 14°
∠1 = 33° . . . . . . . . divide by 2
∠2 = 33° +14°
∠2 = 47°