Question

I'm not sure how to figure this out

Answer 1

9514 1404 393

Answer:

  10°, 80°

Step-by-step explanation:

Setup

Let x and y represent the measures of the two acute angles in the right triangle.

From your knowledge of right triangles, you know the two acute angles are complementary:

  x + y = 90

The problem statement gives you another relation:

  x = 2(y + 30) . . . . twice the sum ...

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Solution

The second equation gives you an expression for x that can be substituted into the first equation.

  (2(y +30)) + y = 90

  3y +60 = 90 . . . . . . . . collect terms

  3y = 30 . . . . . . . . . subtract 60

  y = 10 . . . . . . . . divide by 3

  x = 2(y +30) = 2(40) = 80

The two angles are 10° and 80°.