Respuesta :

Answer:

The measure of ∠BAC is 30°

Step-by-step explanation:

Given:

BAC = (x + 10)°

DAE = (2x - 10)°

Here, BAC and DAE are vertical angles, So they are equal

BAC = DAE

(x + 10)° = (2x - 10)°

x + 10° = 2x - 10°

Subtract 10° and 2x from both side we get,

x + 10° - 10° - 2x = 2x - 2x - 10° - 10°

-x = -20°

x = 20°

Here, The value of x is 20°

Now, We want to find ∠BAC

So,

∠BAC = (x + 10)° = 20° + 10° = 30°

Thus, The measure of ∠BAC is 30°

-TheUnknownScientist 72