(a) An angle measures $$ 38^{\circ} $$. What is the measure of its complement? (b) An angle measures $$ 95^{\circ} $$. What is the measure of its supplement?

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### (a) Finding the Complement of a $$ 38^{\circ} $$ Angle

**Definition:** Two angles are **complementary** if the sum of their measures is $$ 90^{\circ} $$.

**Calculation:**
$$
\text{Complement} = 90^{\circ} - \text{Given Angle} = 90^{\circ} - 38^{\circ} = 52^{\circ}
$$

**Answer:** The complement of a $$ 38^{\circ} $$ angle is $$ \boxed{52^{\circ}} $$.

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### (b) Finding the Supplement of a $$ 95^{\circ} $$ Angle

**Definition:** Two angles are **supplementary** if the sum of their measures is $$ 180^{\circ} $$.

**Calculation:**
$$
\text{Supplement} = 180^{\circ} - \text{Given Angle} = 180^{\circ} - 95^{\circ} = 85^{\circ}
$$

**Answer:** The supplement of a $$ 95^{\circ} $$ angle is $$ \boxed{85^{\circ}} $$.

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**Summary:**
- **Complement of $$ 38^{\circ} $$:** $$ 52^{\circ} $$
- **Supplement of $$ 95^{\circ} $$:** $$ 85^{\circ} $$
- The complement of a $$ 38^{\circ} $$ angle is $$ 52^{\circ} $$. - The supplement of a $$ 95^{\circ} $$ angle is $$ 85^{\circ} $$.

(a) An angle measures \( 38^{\circ} \). What is the measure of its complement? (b) An angle measures \( 95^{\circ} \). What is the measure of its supplement?

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