Find two angles such that one is double the other angle, and they are complementry.

To find two angles such that:

• One angle is double the other, and

• They are complementary (i.e., their sum is 90 degrees),

Step-by-step process:

1. Let the smaller angle be:

   $$x$$
   

2. Then the other angle (double the first) is:

   $$2x$$
   

3. Since the angles are complementary:

   $$x + 2x = 90$$
   

4. Combine like terms:

   $$3x = 90$$
   

5. Solve for $x$:

   $$x = \frac{90}{3} = 30$$
   

6. Now find the second angle:

   $$2x = 2 \times 30 = 60$$
   

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✅ Final Answer:

• First angle = 30 degrees

• Second angle = 60 degrees

These two angles are complementary and one is double the other.