Find the measure of the unknown acute angle. Round your answer to the nearest degree.

  d.  x° = 27°, y° = 63°

Step-by-step explanation:

To choose the correct answer, you only need to know that the smaller angle is opposite the shorter side. x° is opposite the shorter side so will have a smaller measure than y°.

The correct choice is ...

  d.  x° = 27°, y° = 63°

If you want to actually go to the trouble to determine the angles exactly, you can use the tangent relation:

  Tan = Opposite/Adjacent

  tan(x°) = 4/8

  x° = arctan(1/2) ≈ 26.56°

  x° ≈ 27°

y can be computed as the complement of this, or can be computed in similar fashion:

  tan(y°) = 8/4

  y° = arctan(2) ≈ 63.43°

  y° ≈ 63°

536.6

Step-by-step explanation:

First I found the area for the rectangles which is (15x10) multiplied by 3.

Then I found the area for the triangles which is A=(1/2)(8.66)(10). Which equals 43.3, then multiplied that by 2.

Add all the areas together (150)(3)+(43.3)(2)=536.6