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Answer:
The measure of ∠BAC is 30°
Step-by-step explanation:
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