(a) An angle measures $$ 27^{\circ} $$. What is the measure of its complement? (b) An angle measures $$ 120^{\circ} $$. What is the measure of its supplement? measure of the complement:

Question

UpStudy AI · Accepted Answer

To solve the problems, we need to understand the concepts of complementary and supplementary angles.

1. **Complementary Angles**: Two angles are complementary if the sum of their measures is $$90^{\circ}$$. Therefore, the measure of the complement of an angle $$a$$ can be calculated as:
   $$
   \text{Complement} = 90^{\circ} - a
   $$

2. **Supplementary Angles**: Two angles are supplementary if the sum of their measures is $$180^{\circ}$$. Therefore, the measure of the supplement of an angle $$b$$ can be calculated as:
   $$
   \text{Supplement} = 180^{\circ} - b
   $$

Now, let's solve each part step by step.

### Part (a)
Given an angle measures $$27^{\circ}$$:
$$
\text{Complement} = 90^{\circ} - 27^{\circ}
$$

Calculating this:
$$
\text{Complement} = 90 - 27 = 63^{\circ}
$$

### Part (b)
Given an angle measures $$120^{\circ}$$:
$$
\text{Supplement} = 180^{\circ} - 120^{\circ}
$$

Calculating this:
$$
\text{Supplement} = 180 - 120 = 60^{\circ}
$$

### Final Answers
- The measure of the complement of $$27^{\circ}$$ is $$63^{\circ}$$.
- The measure of the supplement of $$120^{\circ}$$ is $$60^{\circ}$$.
- The complement of $$27^{\circ}$$ is $$63^{\circ}$$. - The supplement of $$120^{\circ}$$ is $$60^{\circ}$$.

(a) An angle measures \( 27^{\circ} \). What is the measure of its complement? (b) An angle measures \( 120^{\circ} \). What is the measure of its supplement? measure of the complement:

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Trigonometry Questions