Question

An angle measures 8° more than the measure of its complementary angle. What is the measure of each angle?

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Answer 1

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

Hence, the angles are 41 and 49°.

Answer 2

41° and 49°

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°