Question

In the diagram below, AngleDAB and AngleDAC are adjacent angles. Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees. If mAngleDAC = 25°, what is mAngleDAB in degrees? What is Angle BAC in degrees? Which defines a circle?

Answer 1

∠DAB = 80°

∠BAC = 105°

Explanation:

You are given ...

∠DAC = 25° = (x -20)°

Adding 20°, we have ...

x° = 45°

Then the measures of the other angles are ...

∠DAB = (2x -10)° = 2(45°) -10°

∠DAB = 80°

and

∠BAC = ∠DAB +∠DAC = 80° +25°

∠BAC = 105°

_____

Nothing in this problem statement defines a circle.