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?

  ∠DAB = 80°

  ∠BAC = 105°

Step-by-step 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.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.