## Respuesta :

**Answer:**

41° and 49°

**Step-by-step explanation:**

**Complementary angles** are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

- Add
**like terms**.

2x + 8 = 90°

**Subtract**8 from both sides.

2x = 82°

**Divide**both sides by 2.

x = 41° this is the **measure** of smaller angle, then the bigger angle wpis 49°

**The answer is:**

### ⇨ 41 and 49

**Work/explanation:**

If two angles are **complementary**, their **measures **add to **90°.**

So we can set up an **equation **to find the **angles**. Let the unknown angle be w, and its complement will be w + 8:

**w + w + 8 = 90**

Combine like Terms

**2w + 8 = 90**

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

**41 + 8 = 49**