Naruto drew a right triangle on the ground. while he doesnt know the measures of the other two angles he does know that one is about twice as big as the other. his friend sasuke tells naruto that he can use algebra to find the size of the angles. to the nearest degree how big are the other two angles use algebra to justify answers.

  30°, 60°

Step-by-step explanation:

Let x represent the measure of the smaller angle in degrees. Then the larger unknown angle is 2x, and the sum of the angles in the triangle is 180°:

  x + 2x + 90° = 180° . . . the sum of the angles in the triangle

  3x = 90° . . . . . . . . . . . . subtract 90°, collect terms

  x = 30° . . . . . . . . . . . . . divide by 3; this is the smaller angle

  2x = 60° . . . . . . . . . . . .this is the larger angle

The two angles that are not the right angle are 30° and 60°.