Question

The measure of Angle E, the angle of elevation from point A to point B, is left-parenthesis 3 x plus 1 right parenthesis-degrees. The measure of Angle D, the angle of depression from point B to point A, is 2 left-parenthesis x plus 8 right parenthesis-degrees. Find the measure of each angle.
appreciate any help.

Answer 1

Answer:

∠D = ∠E = 46°  

Step-by-step explanation:

∠D and ∠E are interior opposite angles.

      ∠D = ∠E

2(x + 8) = 3x + 1

2x + 16 = 3x + 1

          x = 15°

∠D = 2(15 + 8) = 2 × 23 = 46°

∠E = 3× 15+ 1 = 45 + 1  = 46°