Answer:
(x + 12)° + (5x)° = 90°
m∠1 = 25° and m∠2 = 65°
Explanation:
We know that the little box represents 90 degrees. We will write an equation using this information.
(x + 12)° + (5x)° = 90°
Next, we will solve by isolating the x variable with inverse operations and combing like terms.
(x + 12)° + (5x)° = 90°
x° + 5x° = 78°
6x° = 78°
x = 13°
Lastly, we will find the value of each angle by substituting.
m∠1 = (x + 12)° = ((13) + 12)° = 25°
m∠2 = (5x)° = (5(13))° = 65°